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Finding the Fourth Proportional to 2,580.19, 3,864.07 and 1,652.88

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Solution

The fourth proportional to 2,580.19, 3,864.07 and 1,652.88 is: 2,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.19 : 3,864.07 = 1,652.88 : x
  2. Step 2: Convert to fraction form
    2,580.19/3,864.07 = 1,652.88/x
  3. Step 3: Cross multiply
    2,580.19x = 3,864.07 × 1,652.88
  4. Step 4: Simplify right side
    2,580.19x = 6,386,844.02
  5. Step 5: Solve for x
    x = 6,386,844.02/2,580.19
  6. Step 6: Final answer
    x = 2,475.34

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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.