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Finding the Fourth Proportional to 1,648.92, 2,275.49 and 902.91

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Solution

The fourth proportional to 1,648.92, 2,275.49 and 902.91 is: 1,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.92 : 2,275.49 = 902.91 : x
  2. Step 2: Convert to fraction form
    1,648.92/2,275.49 = 902.91/x
  3. Step 3: Cross multiply
    1,648.92x = 2,275.49 × 902.91
  4. Step 4: Simplify right side
    1,648.92x = 2,054,558.16
  5. Step 5: Solve for x
    x = 2,054,558.16/1,648.92
  6. Step 6: Final answer
    x = 1,246.00

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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.