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Finding the Fourth Proportional to 2,479.92, 3,421.82 and 1,417.20

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Solution

The fourth proportional to 2,479.92, 3,421.82 and 1,417.20 is: 1,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.92 : 3,421.82 = 1,417.20 : x
  2. Step 2: Convert to fraction form
    2,479.92/3,421.82 = 1,417.20/x
  3. Step 3: Cross multiply
    2,479.92x = 3,421.82 × 1,417.20
  4. Step 4: Simplify right side
    2,479.92x = 4,849,403.30
  5. Step 5: Solve for x
    x = 4,849,403.30/2,479.92
  6. Step 6: Final answer
    x = 1,955.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.