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Finding the Fourth Proportional to 1,652.58, 2,465.25 and 1,534.71

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Solution

The fourth proportional to 1,652.58, 2,465.25 and 1,534.71 is: 2,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.58 : 2,465.25 = 1,534.71 : x
  2. Step 2: Convert to fraction form
    1,652.58/2,465.25 = 1,534.71/x
  3. Step 3: Cross multiply
    1,652.58x = 2,465.25 × 1,534.71
  4. Step 4: Simplify right side
    1,652.58x = 3,783,443.83
  5. Step 5: Solve for x
    x = 3,783,443.83/1,652.58
  6. Step 6: Final answer
    x = 2,289.42

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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.