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Finding the Fourth Proportional to 2,423.90, 3,633.68 and 962.06

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Solution

The fourth proportional to 2,423.90, 3,633.68 and 962.06 is: 1,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.90 : 3,633.68 = 962.06 : x
  2. Step 2: Convert to fraction form
    2,423.90/3,633.68 = 962.06/x
  3. Step 3: Cross multiply
    2,423.90x = 3,633.68 × 962.06
  4. Step 4: Simplify right side
    2,423.90x = 3,495,818.18
  5. Step 5: Solve for x
    x = 3,495,818.18/2,423.90
  6. Step 6: Final answer
    x = 1,442.23

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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.