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Finding the Fourth Proportional to 1,854.76, 2,557.08 and 1,538.86

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Solution

The fourth proportional to 1,854.76, 2,557.08 and 1,538.86 is: 2,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.76 : 2,557.08 = 1,538.86 : x
  2. Step 2: Convert to fraction form
    1,854.76/2,557.08 = 1,538.86/x
  3. Step 3: Cross multiply
    1,854.76x = 2,557.08 × 1,538.86
  4. Step 4: Simplify right side
    1,854.76x = 3,934,988.13
  5. Step 5: Solve for x
    x = 3,934,988.13/1,854.76
  6. Step 6: Final answer
    x = 2,121.56

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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.