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Finding the Fourth Proportional to 2,882.51, 4,323.88 and 802.49

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Solution

The fourth proportional to 2,882.51, 4,323.88 and 802.49 is: 1,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.51 : 4,323.88 = 802.49 : x
  2. Step 2: Convert to fraction form
    2,882.51/4,323.88 = 802.49/x
  3. Step 3: Cross multiply
    2,882.51x = 4,323.88 × 802.49
  4. Step 4: Simplify right side
    2,882.51x = 3,469,848.84
  5. Step 5: Solve for x
    x = 3,469,848.84/2,882.51
  6. Step 6: Final answer
    x = 1,203.76

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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.