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Finding the Fourth Proportional to 1,415.62, 2,122.63 and 582.45

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Solution

The fourth proportional to 1,415.62, 2,122.63 and 582.45 is: 873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.62 : 2,122.63 = 582.45 : x
  2. Step 2: Convert to fraction form
    1,415.62/2,122.63 = 582.45/x
  3. Step 3: Cross multiply
    1,415.62x = 2,122.63 × 582.45
  4. Step 4: Simplify right side
    1,415.62x = 1,236,325.84
  5. Step 5: Solve for x
    x = 1,236,325.84/1,415.62
  6. Step 6: Final answer
    x = 873.35

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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.