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Finding the Fourth Proportional to 2,155.07, 2,973.05 and 1,357.91

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Solution

The fourth proportional to 2,155.07, 2,973.05 and 1,357.91 is: 1,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.07 : 2,973.05 = 1,357.91 : x
  2. Step 2: Convert to fraction form
    2,155.07/2,973.05 = 1,357.91/x
  3. Step 3: Cross multiply
    2,155.07x = 2,973.05 × 1,357.91
  4. Step 4: Simplify right side
    2,155.07x = 4,037,122.86
  5. Step 5: Solve for x
    x = 4,037,122.86/2,155.07
  6. Step 6: Final answer
    x = 1,873.32

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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.