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Finding the Fourth Proportional to 1,587.40, 2,381.10 and 928.60

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Solution

The fourth proportional to 1,587.40, 2,381.10 and 928.60 is: 1,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.40 : 2,381.10 = 928.60 : x
  2. Step 2: Convert to fraction form
    1,587.40/2,381.10 = 928.60/x
  3. Step 3: Cross multiply
    1,587.40x = 2,381.10 × 928.60
  4. Step 4: Simplify right side
    1,587.40x = 2,211,089.46
  5. Step 5: Solve for x
    x = 2,211,089.46/1,587.40
  6. Step 6: Final answer
    x = 1,392.90

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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.