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Finding the Fourth Proportional to 1,981.04, 2,971.58 and 749.30

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Solution

The fourth proportional to 1,981.04, 2,971.58 and 749.30 is: 1,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.04 : 2,971.58 = 749.30 : x
  2. Step 2: Convert to fraction form
    1,981.04/2,971.58 = 749.30/x
  3. Step 3: Cross multiply
    1,981.04x = 2,971.58 × 749.30
  4. Step 4: Simplify right side
    1,981.04x = 2,226,586.29
  5. Step 5: Solve for x
    x = 2,226,586.29/1,981.04
  6. Step 6: Final answer
    x = 1,123.95

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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.