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Finding the Fourth Proportional to 1,415.32, 2,122.47 and 582.14

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Solution

The fourth proportional to 1,415.32, 2,122.47 and 582.14 is: 873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.32 : 2,122.47 = 582.14 : x
  2. Step 2: Convert to fraction form
    1,415.32/2,122.47 = 582.14/x
  3. Step 3: Cross multiply
    1,415.32x = 2,122.47 × 582.14
  4. Step 4: Simplify right side
    1,415.32x = 1,235,576.14
  5. Step 5: Solve for x
    x = 1,235,576.14/1,415.32
  6. Step 6: Final answer
    x = 873.00

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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.