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Finding the Fourth Proportional to 1,424.84, 2,123.54 and 1,422.68

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Solution

The fourth proportional to 1,424.84, 2,123.54 and 1,422.68 is: 2,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.84 : 2,123.54 = 1,422.68 : x
  2. Step 2: Convert to fraction form
    1,424.84/2,123.54 = 1,422.68/x
  3. Step 3: Cross multiply
    1,424.84x = 2,123.54 × 1,422.68
  4. Step 4: Simplify right side
    1,424.84x = 3,021,117.89
  5. Step 5: Solve for x
    x = 3,021,117.89/1,424.84
  6. Step 6: Final answer
    x = 2,120.32

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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.