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Finding the Fourth Proportional to 1,373.49, 2,059.07 and 1,166.63

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Solution

The fourth proportional to 1,373.49, 2,059.07 and 1,166.63 is: 1,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.49 : 2,059.07 = 1,166.63 : x
  2. Step 2: Convert to fraction form
    1,373.49/2,059.07 = 1,166.63/x
  3. Step 3: Cross multiply
    1,373.49x = 2,059.07 × 1,166.63
  4. Step 4: Simplify right side
    1,373.49x = 2,402,156.71
  5. Step 5: Solve for x
    x = 2,402,156.71/1,373.49
  6. Step 6: Final answer
    x = 1,748.94

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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.