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Finding the Fourth Proportional to 2,585.50, 3,568.04 and 1,406.59

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Solution

The fourth proportional to 2,585.50, 3,568.04 and 1,406.59 is: 1,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.50 : 3,568.04 = 1,406.59 : x
  2. Step 2: Convert to fraction form
    2,585.50/3,568.04 = 1,406.59/x
  3. Step 3: Cross multiply
    2,585.50x = 3,568.04 × 1,406.59
  4. Step 4: Simplify right side
    2,585.50x = 5,018,762.35
  5. Step 5: Solve for x
    x = 5,018,762.35/2,585.50
  6. Step 6: Final answer
    x = 1,941.12

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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.