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Finding the Fourth Proportional to 2,365.98, 3,549.07 and 700.11

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Solution

The fourth proportional to 2,365.98, 3,549.07 and 700.11 is: 1,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.98 : 3,549.07 = 700.11 : x
  2. Step 2: Convert to fraction form
    2,365.98/3,549.07 = 700.11/x
  3. Step 3: Cross multiply
    2,365.98x = 3,549.07 × 700.11
  4. Step 4: Simplify right side
    2,365.98x = 2,484,740.27
  5. Step 5: Solve for x
    x = 2,484,740.27/2,365.98
  6. Step 6: Final answer
    x = 1,050.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.