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Finding the Fourth Proportional to 2,681.42, 4,019.97 and 1,525.58

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Solution

The fourth proportional to 2,681.42, 4,019.97 and 1,525.58 is: 2,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.42 : 4,019.97 = 1,525.58 : x
  2. Step 2: Convert to fraction form
    2,681.42/4,019.97 = 1,525.58/x
  3. Step 3: Cross multiply
    2,681.42x = 4,019.97 × 1,525.58
  4. Step 4: Simplify right side
    2,681.42x = 6,132,785.83
  5. Step 5: Solve for x
    x = 6,132,785.83/2,681.42
  6. Step 6: Final answer
    x = 2,287.14

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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.