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Finding the Fourth Proportional to 2,285.64, 3,154.01 and 1,401.93

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Solution

The fourth proportional to 2,285.64, 3,154.01 and 1,401.93 is: 1,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.64 : 3,154.01 = 1,401.93 : x
  2. Step 2: Convert to fraction form
    2,285.64/3,154.01 = 1,401.93/x
  3. Step 3: Cross multiply
    2,285.64x = 3,154.01 × 1,401.93
  4. Step 4: Simplify right side
    2,285.64x = 4,421,694.23
  5. Step 5: Solve for x
    x = 4,421,694.23/2,285.64
  6. Step 6: Final answer
    x = 1,934.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.