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Finding the Fourth Proportional to 2,465.91, 3,403.60 and 1,404.29

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Solution

The fourth proportional to 2,465.91, 3,403.60 and 1,404.29 is: 1,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.91 : 3,403.60 = 1,404.29 : x
  2. Step 2: Convert to fraction form
    2,465.91/3,403.60 = 1,404.29/x
  3. Step 3: Cross multiply
    2,465.91x = 3,403.60 × 1,404.29
  4. Step 4: Simplify right side
    2,465.91x = 4,779,646.44
  5. Step 5: Solve for x
    x = 4,779,646.44/2,465.91
  6. Step 6: Final answer
    x = 1,938.29

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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.