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Finding the Fourth Proportional to 1,490.35, 2,056.15 and 1,149.79

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Solution

The fourth proportional to 1,490.35, 2,056.15 and 1,149.79 is: 1,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.35 : 2,056.15 = 1,149.79 : x
  2. Step 2: Convert to fraction form
    1,490.35/2,056.15 = 1,149.79/x
  3. Step 3: Cross multiply
    1,490.35x = 2,056.15 × 1,149.79
  4. Step 4: Simplify right side
    1,490.35x = 2,364,140.71
  5. Step 5: Solve for x
    x = 2,364,140.71/1,490.35
  6. Step 6: Final answer
    x = 1,586.30

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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.