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Finding the Fourth Proportional to 1,590.40, 2,385.60 and 436.16

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Solution

The fourth proportional to 1,590.40, 2,385.60 and 436.16 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.40 : 2,385.60 = 436.16 : x
  2. Step 2: Convert to fraction form
    1,590.40/2,385.60 = 436.16/x
  3. Step 3: Cross multiply
    1,590.40x = 2,385.60 × 436.16
  4. Step 4: Simplify right side
    1,590.40x = 1,040,503.30
  5. Step 5: Solve for x
    x = 1,040,503.30/1,590.40
  6. Step 6: Final answer
    x = 654.24

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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.