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Finding the Fourth Proportional to 1,561.97, 2,341.80 and 945.53

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Solution

The fourth proportional to 1,561.97, 2,341.80 and 945.53 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.97 : 2,341.80 = 945.53 : x
  2. Step 2: Convert to fraction form
    1,561.97/2,341.80 = 945.53/x
  3. Step 3: Cross multiply
    1,561.97x = 2,341.80 × 945.53
  4. Step 4: Simplify right side
    1,561.97x = 2,214,236.57
  5. Step 5: Solve for x
    x = 2,214,236.57/1,561.97
  6. Step 6: Final answer
    x = 1,417.59

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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.