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Finding the Fourth Proportional to 3,044.64, 4,565.62 and 1,290.40

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Solution

The fourth proportional to 3,044.64, 4,565.62 and 1,290.40 is: 1,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.64 : 4,565.62 = 1,290.40 : x
  2. Step 2: Convert to fraction form
    3,044.64/4,565.62 = 1,290.40/x
  3. Step 3: Cross multiply
    3,044.64x = 4,565.62 × 1,290.40
  4. Step 4: Simplify right side
    3,044.64x = 5,891,476.05
  5. Step 5: Solve for x
    x = 5,891,476.05/3,044.64
  6. Step 6: Final answer
    x = 1,935.03

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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.