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Finding the Fourth Proportional to 2,574, 3,552.14 and 1,526.96

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Solution

The fourth proportional to 2,574, 3,552.14 and 1,526.96 is: 2,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,552.14 = 1,526.96 : x
  2. Step 2: Convert to fraction form
    2,574/3,552.14 = 1,526.96/x
  3. Step 3: Cross multiply
    2,574x = 3,552.14 × 1,526.96
  4. Step 4: Simplify right side
    2,574x = 5,423,975.69
  5. Step 5: Solve for x
    x = 5,423,975.69/2,574
  6. Step 6: Final answer
    x = 2,107.22

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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.