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Finding the Fourth Proportional to 3,132.81, 4,698.54 and 941.11

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Solution

The fourth proportional to 3,132.81, 4,698.54 and 941.11 is: 1,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.81 : 4,698.54 = 941.11 : x
  2. Step 2: Convert to fraction form
    3,132.81/4,698.54 = 941.11/x
  3. Step 3: Cross multiply
    3,132.81x = 4,698.54 × 941.11
  4. Step 4: Simplify right side
    3,132.81x = 4,421,842.98
  5. Step 5: Solve for x
    x = 4,421,842.98/3,132.81
  6. Step 6: Final answer
    x = 1,411.46

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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.