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Finding the Fourth Proportional to 2,506.16, 3,758.18 and 750.53

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Solution

The fourth proportional to 2,506.16, 3,758.18 and 750.53 is: 1,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.16 : 3,758.18 = 750.53 : x
  2. Step 2: Convert to fraction form
    2,506.16/3,758.18 = 750.53/x
  3. Step 3: Cross multiply
    2,506.16x = 3,758.18 × 750.53
  4. Step 4: Simplify right side
    2,506.16x = 2,820,608.04
  5. Step 5: Solve for x
    x = 2,820,608.04/2,506.16
  6. Step 6: Final answer
    x = 1,125.47

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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.