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Finding the Fourth Proportional to 1,633.34, 2,253.90 and 970.02

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Solution

The fourth proportional to 1,633.34, 2,253.90 and 970.02 is: 1,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.34 : 2,253.90 = 970.02 : x
  2. Step 2: Convert to fraction form
    1,633.34/2,253.90 = 970.02/x
  3. Step 3: Cross multiply
    1,633.34x = 2,253.90 × 970.02
  4. Step 4: Simplify right side
    1,633.34x = 2,186,328.08
  5. Step 5: Solve for x
    x = 2,186,328.08/1,633.34
  6. Step 6: Final answer
    x = 1,338.56

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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.