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Finding the Fourth Proportional to 2,347.81, 3,522.70 and 1,030.88

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Solution

The fourth proportional to 2,347.81, 3,522.70 and 1,030.88 is: 1,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.81 : 3,522.70 = 1,030.88 : x
  2. Step 2: Convert to fraction form
    2,347.81/3,522.70 = 1,030.88/x
  3. Step 3: Cross multiply
    2,347.81x = 3,522.70 × 1,030.88
  4. Step 4: Simplify right side
    2,347.81x = 3,631,475.82
  5. Step 5: Solve for x
    x = 3,631,475.82/2,347.81
  6. Step 6: Final answer
    x = 1,546.75

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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.