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Finding the Fourth Proportional to 1,390.43, 2,073.86 and 1,172.50

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Solution

The fourth proportional to 1,390.43, 2,073.86 and 1,172.50 is: 1,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.43 : 2,073.86 = 1,172.50 : x
  2. Step 2: Convert to fraction form
    1,390.43/2,073.86 = 1,172.50/x
  3. Step 3: Cross multiply
    1,390.43x = 2,073.86 × 1,172.50
  4. Step 4: Simplify right side
    1,390.43x = 2,431,590.48
  5. Step 5: Solve for x
    x = 2,431,590.48/1,390.43
  6. Step 6: Final answer
    x = 1,748.80

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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.