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Finding the Fourth Proportional to 1,595.80, 2,202.29 and 887.65

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Solution

The fourth proportional to 1,595.80, 2,202.29 and 887.65 is: 1,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.80 : 2,202.29 = 887.65 : x
  2. Step 2: Convert to fraction form
    1,595.80/2,202.29 = 887.65/x
  3. Step 3: Cross multiply
    1,595.80x = 2,202.29 × 887.65
  4. Step 4: Simplify right side
    1,595.80x = 1,954,856.10
  5. Step 5: Solve for x
    x = 1,954,856.10/1,595.80
  6. Step 6: Final answer
    x = 1,225.00

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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.