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Finding the Fourth Proportional to 2,574.68, 3,868.16 and 1,652.04

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Solution

The fourth proportional to 2,574.68, 3,868.16 and 1,652.04 is: 2,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.68 : 3,868.16 = 1,652.04 : x
  2. Step 2: Convert to fraction form
    2,574.68/3,868.16 = 1,652.04/x
  3. Step 3: Cross multiply
    2,574.68x = 3,868.16 × 1,652.04
  4. Step 4: Simplify right side
    2,574.68x = 6,390,346.79
  5. Step 5: Solve for x
    x = 6,390,346.79/2,574.68
  6. Step 6: Final answer
    x = 2,482.00

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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.