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Finding the Fourth Proportional to 1,659.48, 2,288.74 and 1,411.48

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Solution

The fourth proportional to 1,659.48, 2,288.74 and 1,411.48 is: 1,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.48 : 2,288.74 = 1,411.48 : x
  2. Step 2: Convert to fraction form
    1,659.48/2,288.74 = 1,411.48/x
  3. Step 3: Cross multiply
    1,659.48x = 2,288.74 × 1,411.48
  4. Step 4: Simplify right side
    1,659.48x = 3,230,510.74
  5. Step 5: Solve for x
    x = 3,230,510.74/1,659.48
  6. Step 6: Final answer
    x = 1,946.70

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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.