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Finding the Fourth Proportional to 2,959.74, 4,432.32 and 2,402.06

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Solution

The fourth proportional to 2,959.74, 4,432.32 and 2,402.06 is: 3,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.74 : 4,432.32 = 2,402.06 : x
  2. Step 2: Convert to fraction form
    2,959.74/4,432.32 = 2,402.06/x
  3. Step 3: Cross multiply
    2,959.74x = 4,432.32 × 2,402.06
  4. Step 4: Simplify right side
    2,959.74x = 10,646,676.42
  5. Step 5: Solve for x
    x = 10,646,676.42/2,959.74
  6. Step 6: Final answer
    x = 3,597.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.