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Finding the Fourth Proportional to 1,512.16, 2,269.20 and 646.48

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Solution

The fourth proportional to 1,512.16, 2,269.20 and 646.48 is: 970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.16 : 2,269.20 = 646.48 : x
  2. Step 2: Convert to fraction form
    1,512.16/2,269.20 = 646.48/x
  3. Step 3: Cross multiply
    1,512.16x = 2,269.20 × 646.48
  4. Step 4: Simplify right side
    1,512.16x = 1,466,992.42
  5. Step 5: Solve for x
    x = 1,466,992.42/1,512.16
  6. Step 6: Final answer
    x = 970.13

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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.