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Finding the Fourth Proportional to 1,561.34, 2,151.69 and 1,118.48

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Solution

The fourth proportional to 1,561.34, 2,151.69 and 1,118.48 is: 1,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.34 : 2,151.69 = 1,118.48 : x
  2. Step 2: Convert to fraction form
    1,561.34/2,151.69 = 1,118.48/x
  3. Step 3: Cross multiply
    1,561.34x = 2,151.69 × 1,118.48
  4. Step 4: Simplify right side
    1,561.34x = 2,406,622.23
  5. Step 5: Solve for x
    x = 2,406,622.23/1,561.34
  6. Step 6: Final answer
    x = 1,541.38

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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.