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Finding the Fourth Proportional to 1,401.84, 1,924.02 and 1,285.20

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Solution

The fourth proportional to 1,401.84, 1,924.02 and 1,285.20 is: 1,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.84 : 1,924.02 = 1,285.20 : x
  2. Step 2: Convert to fraction form
    1,401.84/1,924.02 = 1,285.20/x
  3. Step 3: Cross multiply
    1,401.84x = 1,924.02 × 1,285.20
  4. Step 4: Simplify right side
    1,401.84x = 2,472,750.50
  5. Step 5: Solve for x
    x = 2,472,750.50/1,401.84
  6. Step 6: Final answer
    x = 1,763.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.