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Finding the Fourth Proportional to 1,457.44, 2,184.24 and 591.28

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Solution

The fourth proportional to 1,457.44, 2,184.24 and 591.28 is: 886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.44 : 2,184.24 = 591.28 : x
  2. Step 2: Convert to fraction form
    1,457.44/2,184.24 = 591.28/x
  3. Step 3: Cross multiply
    1,457.44x = 2,184.24 × 591.28
  4. Step 4: Simplify right side
    1,457.44x = 1,291,497.43
  5. Step 5: Solve for x
    x = 1,291,497.43/1,457.44
  6. Step 6: Final answer
    x = 886.14

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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.