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Finding the Fourth Proportional to 1,590.24, 2,385.68 and 616.32

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Solution

The fourth proportional to 1,590.24, 2,385.68 and 616.32 is: 924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.24 : 2,385.68 = 616.32 : x
  2. Step 2: Convert to fraction form
    1,590.24/2,385.68 = 616.32/x
  3. Step 3: Cross multiply
    1,590.24x = 2,385.68 × 616.32
  4. Step 4: Simplify right side
    1,590.24x = 1,470,342.30
  5. Step 5: Solve for x
    x = 1,470,342.30/1,590.24
  6. Step 6: Final answer
    x = 924.60

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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.