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Finding the Fourth Proportional to 2,088.76, 3,133.08 and 855.84

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Solution

The fourth proportional to 2,088.76, 3,133.08 and 855.84 is: 1,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.76 : 3,133.08 = 855.84 : x
  2. Step 2: Convert to fraction form
    2,088.76/3,133.08 = 855.84/x
  3. Step 3: Cross multiply
    2,088.76x = 3,133.08 × 855.84
  4. Step 4: Simplify right side
    2,088.76x = 2,681,415.19
  5. Step 5: Solve for x
    x = 2,681,415.19/2,088.76
  6. Step 6: Final answer
    x = 1,283.74

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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.