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Finding the Fourth Proportional to 1,496.77, 2,240.53 and 1,275.35

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Solution

The fourth proportional to 1,496.77, 2,240.53 and 1,275.35 is: 1,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.77 : 2,240.53 = 1,275.35 : x
  2. Step 2: Convert to fraction form
    1,496.77/2,240.53 = 1,275.35/x
  3. Step 3: Cross multiply
    1,496.77x = 2,240.53 × 1,275.35
  4. Step 4: Simplify right side
    1,496.77x = 2,857,445.54
  5. Step 5: Solve for x
    x = 2,857,445.54/1,496.77
  6. Step 6: Final answer
    x = 1,909.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.