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Finding the Fourth Proportional to 2,370.84, 3,267.43 and 1,572.76

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Solution

The fourth proportional to 2,370.84, 3,267.43 and 1,572.76 is: 2,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.84 : 3,267.43 = 1,572.76 : x
  2. Step 2: Convert to fraction form
    2,370.84/3,267.43 = 1,572.76/x
  3. Step 3: Cross multiply
    2,370.84x = 3,267.43 × 1,572.76
  4. Step 4: Simplify right side
    2,370.84x = 5,138,883.83
  5. Step 5: Solve for x
    x = 5,138,883.83/2,370.84
  6. Step 6: Final answer
    x = 2,167.53

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1.5x scale

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.