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Finding the Fourth Proportional to 1,749.88, 2,415.70 and 1,226.88

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Solution

The fourth proportional to 1,749.88, 2,415.70 and 1,226.88 is: 1,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.88 : 2,415.70 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    1,749.88/2,415.70 = 1,226.88/x
  3. Step 3: Cross multiply
    1,749.88x = 2,415.70 × 1,226.88
  4. Step 4: Simplify right side
    1,749.88x = 2,963,774.02
  5. Step 5: Solve for x
    x = 2,963,774.02/1,749.88
  6. Step 6: Final answer
    x = 1,693.70

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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.