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Finding the Fourth Proportional to 1,461.76, 2,193.54 and 1,065.70

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Solution

The fourth proportional to 1,461.76, 2,193.54 and 1,065.70 is: 1,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.76 : 2,193.54 = 1,065.70 : x
  2. Step 2: Convert to fraction form
    1,461.76/2,193.54 = 1,065.70/x
  3. Step 3: Cross multiply
    1,461.76x = 2,193.54 × 1,065.70
  4. Step 4: Simplify right side
    1,461.76x = 2,337,654.32
  5. Step 5: Solve for x
    x = 2,337,654.32/1,461.76
  6. Step 6: Final answer
    x = 1,599.21

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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.