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Finding the Fourth Proportional to 1,590.14, 2,385.18 and 435.92

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Solution

The fourth proportional to 1,590.14, 2,385.18 and 435.92 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.14 : 2,385.18 = 435.92 : x
  2. Step 2: Convert to fraction form
    1,590.14/2,385.18 = 435.92/x
  3. Step 3: Cross multiply
    1,590.14x = 2,385.18 × 435.92
  4. Step 4: Simplify right side
    1,590.14x = 1,039,747.67
  5. Step 5: Solve for x
    x = 1,039,747.67/1,590.14
  6. Step 6: Final answer
    x = 653.87

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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.