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Finding the Fourth Proportional to 2,715.51, 4,073.54 and 741.18

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Solution

The fourth proportional to 2,715.51, 4,073.54 and 741.18 is: 1,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.51 : 4,073.54 = 741.18 : x
  2. Step 2: Convert to fraction form
    2,715.51/4,073.54 = 741.18/x
  3. Step 3: Cross multiply
    2,715.51x = 4,073.54 × 741.18
  4. Step 4: Simplify right side
    2,715.51x = 3,019,226.38
  5. Step 5: Solve for x
    x = 3,019,226.38/2,715.51
  6. Step 6: Final answer
    x = 1,111.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.