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Finding the Fourth Proportional to 2,402.69, 3,315.71 and 1,298.69

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Solution

The fourth proportional to 2,402.69, 3,315.71 and 1,298.69 is: 1,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.69 : 3,315.71 = 1,298.69 : x
  2. Step 2: Convert to fraction form
    2,402.69/3,315.71 = 1,298.69/x
  3. Step 3: Cross multiply
    2,402.69x = 3,315.71 × 1,298.69
  4. Step 4: Simplify right side
    2,402.69x = 4,306,079.42
  5. Step 5: Solve for x
    x = 4,306,079.42/2,402.69
  6. Step 6: Final answer
    x = 1,792.19

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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.