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Finding the Fourth Proportional to 1,348.65, 2,013.95 and 1,166.49

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Solution

The fourth proportional to 1,348.65, 2,013.95 and 1,166.49 is: 1,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.65 : 2,013.95 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    1,348.65/2,013.95 = 1,166.49/x
  3. Step 3: Cross multiply
    1,348.65x = 2,013.95 × 1,166.49
  4. Step 4: Simplify right side
    1,348.65x = 2,349,255.45
  5. Step 5: Solve for x
    x = 2,349,255.45/1,348.65
  6. Step 6: Final answer
    x = 1,741.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.