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Finding the Fourth Proportional to 2,402.29, 3,315.29 and 1,407.64

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Solution

The fourth proportional to 2,402.29, 3,315.29 and 1,407.64 is: 1,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.29 : 3,315.29 = 1,407.64 : x
  2. Step 2: Convert to fraction form
    2,402.29/3,315.29 = 1,407.64/x
  3. Step 3: Cross multiply
    2,402.29x = 3,315.29 × 1,407.64
  4. Step 4: Simplify right side
    2,402.29x = 4,666,734.82
  5. Step 5: Solve for x
    x = 4,666,734.82/2,402.29
  6. Step 6: Final answer
    x = 1,942.62

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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.