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Finding the Fourth Proportional to 1,595.81, 2,202.23 and 887.69

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Solution

The fourth proportional to 1,595.81, 2,202.23 and 887.69 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.81 : 2,202.23 = 887.69 : x
  2. Step 2: Convert to fraction form
    1,595.81/2,202.23 = 887.69/x
  3. Step 3: Cross multiply
    1,595.81x = 2,202.23 × 887.69
  4. Step 4: Simplify right side
    1,595.81x = 1,954,897.55
  5. Step 5: Solve for x
    x = 1,954,897.55/1,595.81
  6. Step 6: Final answer
    x = 1,225.02

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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.