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Finding the Fourth Proportional to 1,544.60, 2,316.08 and 1,057.80

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Solution

The fourth proportional to 1,544.60, 2,316.08 and 1,057.80 is: 1,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.60 : 2,316.08 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    1,544.60/2,316.08 = 1,057.80/x
  3. Step 3: Cross multiply
    1,544.60x = 2,316.08 × 1,057.80
  4. Step 4: Simplify right side
    1,544.60x = 2,449,949.42
  5. Step 5: Solve for x
    x = 2,449,949.42/1,544.60
  6. Step 6: Final answer
    x = 1,586.14

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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.