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Finding the Fourth Proportional to 2,401.97, 3,602.88 and 1,103.40

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Solution

The fourth proportional to 2,401.97, 3,602.88 and 1,103.40 is: 1,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.97 : 3,602.88 = 1,103.40 : x
  2. Step 2: Convert to fraction form
    2,401.97/3,602.88 = 1,103.40/x
  3. Step 3: Cross multiply
    2,401.97x = 3,602.88 × 1,103.40
  4. Step 4: Simplify right side
    2,401.97x = 3,975,417.79
  5. Step 5: Solve for x
    x = 3,975,417.79/2,401.97
  6. Step 6: Final answer
    x = 1,655.07

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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.