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Finding the Fourth Proportional to 2,348.63, 3,521.12 and 962.32

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Solution

The fourth proportional to 2,348.63, 3,521.12 and 962.32 is: 1,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.63 : 3,521.12 = 962.32 : x
  2. Step 2: Convert to fraction form
    2,348.63/3,521.12 = 962.32/x
  3. Step 3: Cross multiply
    2,348.63x = 3,521.12 × 962.32
  4. Step 4: Simplify right side
    2,348.63x = 3,388,426.59
  5. Step 5: Solve for x
    x = 3,388,426.59/2,348.63
  6. Step 6: Final answer
    x = 1,442.72

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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.