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Finding the Fourth Proportional to 1,535.56, 2,302.26 and 561.52

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Solution

The fourth proportional to 1,535.56, 2,302.26 and 561.52 is: 841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.56 : 2,302.26 = 561.52 : x
  2. Step 2: Convert to fraction form
    1,535.56/2,302.26 = 561.52/x
  3. Step 3: Cross multiply
    1,535.56x = 2,302.26 × 561.52
  4. Step 4: Simplify right side
    1,535.56x = 1,292,765.04
  5. Step 5: Solve for x
    x = 1,292,765.04/1,535.56
  6. Step 6: Final answer
    x = 841.89

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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.