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Finding the Fourth Proportional to 1,740.05, 2,401.13 and 993.90

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Solution

The fourth proportional to 1,740.05, 2,401.13 and 993.90 is: 1,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.05 : 2,401.13 = 993.90 : x
  2. Step 2: Convert to fraction form
    1,740.05/2,401.13 = 993.90/x
  3. Step 3: Cross multiply
    1,740.05x = 2,401.13 × 993.90
  4. Step 4: Simplify right side
    1,740.05x = 2,386,478.14
  5. Step 5: Solve for x
    x = 2,386,478.14/1,740.05
  6. Step 6: Final answer
    x = 1,371.50

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1.5x scale

Why These Related Problems?

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