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Finding the Fourth Proportional to 1,590.74, 2,195.24 and 928.06

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Solution

The fourth proportional to 1,590.74, 2,195.24 and 928.06 is: 1,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.74 : 2,195.24 = 928.06 : x
  2. Step 2: Convert to fraction form
    1,590.74/2,195.24 = 928.06/x
  3. Step 3: Cross multiply
    1,590.74x = 2,195.24 × 928.06
  4. Step 4: Simplify right side
    1,590.74x = 2,037,314.43
  5. Step 5: Solve for x
    x = 2,037,314.43/1,590.74
  6. Step 6: Final answer
    x = 1,280.73

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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.