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Finding the Fourth Proportional to 1,877.92, 2,592 and 1,458.16

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Solution

The fourth proportional to 1,877.92, 2,592 and 1,458.16 is: 2,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.92 : 2,592 = 1,458.16 : x
  2. Step 2: Convert to fraction form
    1,877.92/2,592 = 1,458.16/x
  3. Step 3: Cross multiply
    1,877.92x = 2,592 × 1,458.16
  4. Step 4: Simplify right side
    1,877.92x = 3,779,550.72
  5. Step 5: Solve for x
    x = 3,779,550.72/1,877.92
  6. Step 6: Final answer
    x = 2,012.63

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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.