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Finding the Fourth Proportional to 1,534.62, 2,301.93 and 1,017.87

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Solution

The fourth proportional to 1,534.62, 2,301.93 and 1,017.87 is: 1,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.62 : 2,301.93 = 1,017.87 : x
  2. Step 2: Convert to fraction form
    1,534.62/2,301.93 = 1,017.87/x
  3. Step 3: Cross multiply
    1,534.62x = 2,301.93 × 1,017.87
  4. Step 4: Simplify right side
    1,534.62x = 2,343,065.49
  5. Step 5: Solve for x
    x = 2,343,065.49/1,534.62
  6. Step 6: Final answer
    x = 1,526.81

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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.