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Finding the Fourth Proportional to 2,585.97, 3,568.73 and 1,407.08

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Solution

The fourth proportional to 2,585.97, 3,568.73 and 1,407.08 is: 1,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.97 : 3,568.73 = 1,407.08 : x
  2. Step 2: Convert to fraction form
    2,585.97/3,568.73 = 1,407.08/x
  3. Step 3: Cross multiply
    2,585.97x = 3,568.73 × 1,407.08
  4. Step 4: Simplify right side
    2,585.97x = 5,021,490.49
  5. Step 5: Solve for x
    x = 5,021,490.49/2,585.97
  6. Step 6: Final answer
    x = 1,941.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.