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Finding the Fourth Proportional to 1,510.11, 2,265.03 and 780.30

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Solution

The fourth proportional to 1,510.11, 2,265.03 and 780.30 is: 1,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.11 : 2,265.03 = 780.30 : x
  2. Step 2: Convert to fraction form
    1,510.11/2,265.03 = 780.30/x
  3. Step 3: Cross multiply
    1,510.11x = 2,265.03 × 780.30
  4. Step 4: Simplify right side
    1,510.11x = 1,767,402.91
  5. Step 5: Solve for x
    x = 1,767,402.91/1,510.11
  6. Step 6: Final answer
    x = 1,170.38

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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.