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Finding the Fourth Proportional to 1,461, 2,192.58 and 691.50

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Solution

The fourth proportional to 1,461, 2,192.58 and 691.50 is: 1,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461 : 2,192.58 = 691.50 : x
  2. Step 2: Convert to fraction form
    1,461/2,192.58 = 691.50/x
  3. Step 3: Cross multiply
    1,461x = 2,192.58 × 691.50
  4. Step 4: Simplify right side
    1,461x = 1,516,169.07
  5. Step 5: Solve for x
    x = 1,516,169.07/1,461
  6. Step 6: Final answer
    x = 1,037.76

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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.