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Finding the Fourth Proportional to 2,599.46, 3,585.39 and 2,513.78

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Solution

The fourth proportional to 2,599.46, 3,585.39 and 2,513.78 is: 3,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.46 : 3,585.39 = 2,513.78 : x
  2. Step 2: Convert to fraction form
    2,599.46/3,585.39 = 2,513.78/x
  3. Step 3: Cross multiply
    2,599.46x = 3,585.39 × 2,513.78
  4. Step 4: Simplify right side
    2,599.46x = 9,012,881.67
  5. Step 5: Solve for x
    x = 9,012,881.67/2,599.46
  6. Step 6: Final answer
    x = 3,467.21

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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.