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Finding the Fourth Proportional to 1,652.16, 2,463.84 and 1,444.80

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Solution

The fourth proportional to 1,652.16, 2,463.84 and 1,444.80 is: 2,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.16 : 2,463.84 = 1,444.80 : x
  2. Step 2: Convert to fraction form
    1,652.16/2,463.84 = 1,444.80/x
  3. Step 3: Cross multiply
    1,652.16x = 2,463.84 × 1,444.80
  4. Step 4: Simplify right side
    1,652.16x = 3,559,756.03
  5. Step 5: Solve for x
    x = 3,559,756.03/1,652.16
  6. Step 6: Final answer
    x = 2,154.61

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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.