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Finding the Fourth Proportional to 4,590.64, 6,881.52 and 1,666.96

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Solution

The fourth proportional to 4,590.64, 6,881.52 and 1,666.96 is: 2,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.64 : 6,881.52 = 1,666.96 : x
  2. Step 2: Convert to fraction form
    4,590.64/6,881.52 = 1,666.96/x
  3. Step 3: Cross multiply
    4,590.64x = 6,881.52 × 1,666.96
  4. Step 4: Simplify right side
    4,590.64x = 11,471,218.58
  5. Step 5: Solve for x
    x = 11,471,218.58/4,590.64
  6. Step 6: Final answer
    x = 2,498.83

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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.