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Finding the Fourth Proportional to 1,400.40, 2,101.68 and 751.32

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Solution

The fourth proportional to 1,400.40, 2,101.68 and 751.32 is: 1,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.40 : 2,101.68 = 751.32 : x
  2. Step 2: Convert to fraction form
    1,400.40/2,101.68 = 751.32/x
  3. Step 3: Cross multiply
    1,400.40x = 2,101.68 × 751.32
  4. Step 4: Simplify right side
    1,400.40x = 1,579,034.22
  5. Step 5: Solve for x
    x = 1,579,034.22/1,400.40
  6. Step 6: Final answer
    x = 1,127.56

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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.