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Finding the Fourth Proportional to 2,347.58, 3,521.34 and 1,252.46

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Solution

The fourth proportional to 2,347.58, 3,521.34 and 1,252.46 is: 1,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.58 : 3,521.34 = 1,252.46 : x
  2. Step 2: Convert to fraction form
    2,347.58/3,521.34 = 1,252.46/x
  3. Step 3: Cross multiply
    2,347.58x = 3,521.34 × 1,252.46
  4. Step 4: Simplify right side
    2,347.58x = 4,410,337.50
  5. Step 5: Solve for x
    x = 4,410,337.50/2,347.58
  6. Step 6: Final answer
    x = 1,878.67

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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.