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Finding the Fourth Proportional to 2,521.46, 3,478.65 and 1,526.06

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Solution

The fourth proportional to 2,521.46, 3,478.65 and 1,526.06 is: 2,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.46 : 3,478.65 = 1,526.06 : x
  2. Step 2: Convert to fraction form
    2,521.46/3,478.65 = 1,526.06/x
  3. Step 3: Cross multiply
    2,521.46x = 3,478.65 × 1,526.06
  4. Step 4: Simplify right side
    2,521.46x = 5,308,628.62
  5. Step 5: Solve for x
    x = 5,308,628.62/2,521.46
  6. Step 6: Final answer
    x = 2,105.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.