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Finding the Fourth Proportional to 2,580.10, 3,560.84 and 1,532.16

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Solution

The fourth proportional to 2,580.10, 3,560.84 and 1,532.16 is: 2,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.10 : 3,560.84 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    2,580.10/3,560.84 = 1,532.16/x
  3. Step 3: Cross multiply
    2,580.10x = 3,560.84 × 1,532.16
  4. Step 4: Simplify right side
    2,580.10x = 5,455,795.71
  5. Step 5: Solve for x
    x = 5,455,795.71/2,580.10
  6. Step 6: Final answer
    x = 2,114.57

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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.