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Finding the Fourth Proportional to 2,035.53, 3,053.70 and 865.52

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Solution

The fourth proportional to 2,035.53, 3,053.70 and 865.52 is: 1,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.53 : 3,053.70 = 865.52 : x
  2. Step 2: Convert to fraction form
    2,035.53/3,053.70 = 865.52/x
  3. Step 3: Cross multiply
    2,035.53x = 3,053.70 × 865.52
  4. Step 4: Simplify right side
    2,035.53x = 2,643,040.08
  5. Step 5: Solve for x
    x = 2,643,040.08/2,035.53
  6. Step 6: Final answer
    x = 1,298.45

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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.