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Finding the Fourth Proportional to 2,013.69, 3,019.95 and 715.53

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Solution

The fourth proportional to 2,013.69, 3,019.95 and 715.53 is: 1,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.69 : 3,019.95 = 715.53 : x
  2. Step 2: Convert to fraction form
    2,013.69/3,019.95 = 715.53/x
  3. Step 3: Cross multiply
    2,013.69x = 3,019.95 × 715.53
  4. Step 4: Simplify right side
    2,013.69x = 2,160,864.82
  5. Step 5: Solve for x
    x = 2,160,864.82/2,013.69
  6. Step 6: Final answer
    x = 1,073.09

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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.