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Finding the Fourth Proportional to 1,444.77, 2,160.39 and 1,032.63

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Solution

The fourth proportional to 1,444.77, 2,160.39 and 1,032.63 is: 1,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.77 : 2,160.39 = 1,032.63 : x
  2. Step 2: Convert to fraction form
    1,444.77/2,160.39 = 1,032.63/x
  3. Step 3: Cross multiply
    1,444.77x = 2,160.39 × 1,032.63
  4. Step 4: Simplify right side
    1,444.77x = 2,230,883.53
  5. Step 5: Solve for x
    x = 2,230,883.53/1,444.77
  6. Step 6: Final answer
    x = 1,544.11

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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.