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Finding the Fourth Proportional to 2,169.84, 3,254.64 and 1,509.76

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Solution

The fourth proportional to 2,169.84, 3,254.64 and 1,509.76 is: 2,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.84 : 3,254.64 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    2,169.84/3,254.64 = 1,509.76/x
  3. Step 3: Cross multiply
    2,169.84x = 3,254.64 × 1,509.76
  4. Step 4: Simplify right side
    2,169.84x = 4,913,725.29
  5. Step 5: Solve for x
    x = 4,913,725.29/2,169.84
  6. Step 6: Final answer
    x = 2,264.56

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1.5x scale

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.