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Finding the Fourth Proportional to 1,590.10, 2,383.80 and 616.88

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Solution

The fourth proportional to 1,590.10, 2,383.80 and 616.88 is: 924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.10 : 2,383.80 = 616.88 : x
  2. Step 2: Convert to fraction form
    1,590.10/2,383.80 = 616.88/x
  3. Step 3: Cross multiply
    1,590.10x = 2,383.80 × 616.88
  4. Step 4: Simplify right side
    1,590.10x = 1,470,518.54
  5. Step 5: Solve for x
    x = 1,470,518.54/1,590.10
  6. Step 6: Final answer
    x = 924.80

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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.