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Finding the Fourth Proportional to 1,341.73, 1,851.45 and 752.26

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Solution

The fourth proportional to 1,341.73, 1,851.45 and 752.26 is: 1,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.73 : 1,851.45 = 752.26 : x
  2. Step 2: Convert to fraction form
    1,341.73/1,851.45 = 752.26/x
  3. Step 3: Cross multiply
    1,341.73x = 1,851.45 × 752.26
  4. Step 4: Simplify right side
    1,341.73x = 1,392,762.52
  5. Step 5: Solve for x
    x = 1,392,762.52/1,341.73
  6. Step 6: Final answer
    x = 1,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.