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Finding the Fourth Proportional to 1,422.84, 2,125.32 and 1,204.32

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Solution

The fourth proportional to 1,422.84, 2,125.32 and 1,204.32 is: 1,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 2,125.32 = 1,204.32 : x
  2. Step 2: Convert to fraction form
    1,422.84/2,125.32 = 1,204.32/x
  3. Step 3: Cross multiply
    1,422.84x = 2,125.32 × 1,204.32
  4. Step 4: Simplify right side
    1,422.84x = 2,559,565.38
  5. Step 5: Solve for x
    x = 2,559,565.38/1,422.84
  6. Step 6: Final answer
    x = 1,798.91

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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.