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Finding the Fourth Proportional to 1,749, 2,412.54 and 1,400.52

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Solution

The fourth proportional to 1,749, 2,412.54 and 1,400.52 is: 1,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749 : 2,412.54 = 1,400.52 : x
  2. Step 2: Convert to fraction form
    1,749/2,412.54 = 1,400.52/x
  3. Step 3: Cross multiply
    1,749x = 2,412.54 × 1,400.52
  4. Step 4: Simplify right side
    1,749x = 3,378,810.52
  5. Step 5: Solve for x
    x = 3,378,810.52/1,749
  6. Step 6: Final answer
    x = 1,931.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.