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Finding the Fourth Proportional to 2,347.88, 3,522.29 and 1,049.34

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Solution

The fourth proportional to 2,347.88, 3,522.29 and 1,049.34 is: 1,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.88 : 3,522.29 = 1,049.34 : x
  2. Step 2: Convert to fraction form
    2,347.88/3,522.29 = 1,049.34/x
  3. Step 3: Cross multiply
    2,347.88x = 3,522.29 × 1,049.34
  4. Step 4: Simplify right side
    2,347.88x = 3,696,079.79
  5. Step 5: Solve for x
    x = 3,696,079.79/2,347.88
  6. Step 6: Final answer
    x = 1,574.22

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1.5x scale

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.