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Finding the Fourth Proportional to 1,291.42, 1,937.84 and 561

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Solution

The fourth proportional to 1,291.42, 1,937.84 and 561 is: 841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.42 : 1,937.84 = 561 : x
  2. Step 2: Convert to fraction form
    1,291.42/1,937.84 = 561/x
  3. Step 3: Cross multiply
    1,291.42x = 1,937.84 × 561
  4. Step 4: Simplify right side
    1,291.42x = 1,087,128.24
  5. Step 5: Solve for x
    x = 1,087,128.24/1,291.42
  6. Step 6: Final answer
    x = 841.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.