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Finding the Fourth Proportional to 2,878.97, 3,973.12 and 1,700.01

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Solution

The fourth proportional to 2,878.97, 3,973.12 and 1,700.01 is: 2,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.97 : 3,973.12 = 1,700.01 : x
  2. Step 2: Convert to fraction form
    2,878.97/3,973.12 = 1,700.01/x
  3. Step 3: Cross multiply
    2,878.97x = 3,973.12 × 1,700.01
  4. Step 4: Simplify right side
    2,878.97x = 6,754,339.48
  5. Step 5: Solve for x
    x = 6,754,339.48/2,878.97
  6. Step 6: Final answer
    x = 2,346.10

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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.