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Finding the Fourth Proportional to 1,349.51, 2,024.13 and 375.53

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Solution

The fourth proportional to 1,349.51, 2,024.13 and 375.53 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.51 : 2,024.13 = 375.53 : x
  2. Step 2: Convert to fraction form
    1,349.51/2,024.13 = 375.53/x
  3. Step 3: Cross multiply
    1,349.51x = 2,024.13 × 375.53
  4. Step 4: Simplify right side
    1,349.51x = 760,121.54
  5. Step 5: Solve for x
    x = 760,121.54/1,349.51
  6. Step 6: Final answer
    x = 563.26

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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.