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Finding the Fourth Proportional to 1,526.55, 2,031.62 and 1,526.55

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Solution

The fourth proportional to 1,526.55, 2,031.62 and 1,526.55 is: 2,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.55 : 2,031.62 = 1,526.55 : x
  2. Step 2: Convert to fraction form
    1,526.55/2,031.62 = 1,526.55/x
  3. Step 3: Cross multiply
    1,526.55x = 2,031.62 × 1,526.55
  4. Step 4: Simplify right side
    1,526.55x = 3,101,361.88
  5. Step 5: Solve for x
    x = 3,101,361.88/1,526.55
  6. Step 6: Final answer
    x = 2,031.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.