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Finding the Fourth Proportional to 1,523.10, 2,275.71 and 1,169.67

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Solution

The fourth proportional to 1,523.10, 2,275.71 and 1,169.67 is: 1,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.10 : 2,275.71 = 1,169.67 : x
  2. Step 2: Convert to fraction form
    1,523.10/2,275.71 = 1,169.67/x
  3. Step 3: Cross multiply
    1,523.10x = 2,275.71 × 1,169.67
  4. Step 4: Simplify right side
    1,523.10x = 2,661,829.72
  5. Step 5: Solve for x
    x = 2,661,829.72/1,523.10
  6. Step 6: Final answer
    x = 1,747.64

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