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Finding the Fourth Proportional to 2,878.07, 3,973.19 and 1,884.87

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Solution

The fourth proportional to 2,878.07, 3,973.19 and 1,884.87 is: 2,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.07 : 3,973.19 = 1,884.87 : x
  2. Step 2: Convert to fraction form
    2,878.07/3,973.19 = 1,884.87/x
  3. Step 3: Cross multiply
    2,878.07x = 3,973.19 × 1,884.87
  4. Step 4: Simplify right side
    2,878.07x = 7,488,937.21
  5. Step 5: Solve for x
    x = 7,488,937.21/2,878.07
  6. Step 6: Final answer
    x = 2,602.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.