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Finding the Fourth Proportional to 2,123.30, 2,927.07 and 1,532.90

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Solution

The fourth proportional to 2,123.30, 2,927.07 and 1,532.90 is: 2,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.30 : 2,927.07 = 1,532.90 : x
  2. Step 2: Convert to fraction form
    2,123.30/2,927.07 = 1,532.90/x
  3. Step 3: Cross multiply
    2,123.30x = 2,927.07 × 1,532.90
  4. Step 4: Simplify right side
    2,123.30x = 4,486,905.60
  5. Step 5: Solve for x
    x = 4,486,905.60/2,123.30
  6. Step 6: Final answer
    x = 2,113.18

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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.