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Finding the Fourth Proportional to 1,574.70, 2,362.05 and 752.78

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Solution

The fourth proportional to 1,574.70, 2,362.05 and 752.78 is: 1,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.70 : 2,362.05 = 752.78 : x
  2. Step 2: Convert to fraction form
    1,574.70/2,362.05 = 752.78/x
  3. Step 3: Cross multiply
    1,574.70x = 2,362.05 × 752.78
  4. Step 4: Simplify right side
    1,574.70x = 1,778,104.00
  5. Step 5: Solve for x
    x = 1,778,104.00/1,574.70
  6. Step 6: Final answer
    x = 1,129.17

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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.