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Finding the Fourth Proportional to 1,410.60, 2,115.74 and 384.52

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Solution

The fourth proportional to 1,410.60, 2,115.74 and 384.52 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.60 : 2,115.74 = 384.52 : x
  2. Step 2: Convert to fraction form
    1,410.60/2,115.74 = 384.52/x
  3. Step 3: Cross multiply
    1,410.60x = 2,115.74 × 384.52
  4. Step 4: Simplify right side
    1,410.60x = 813,544.34
  5. Step 5: Solve for x
    x = 813,544.34/1,410.60
  6. Step 6: Final answer
    x = 576.74

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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.