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Finding the Fourth Proportional to 1,602.10, 2,210.25 and 1,228.42

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Solution

The fourth proportional to 1,602.10, 2,210.25 and 1,228.42 is: 1,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.10 : 2,210.25 = 1,228.42 : x
  2. Step 2: Convert to fraction form
    1,602.10/2,210.25 = 1,228.42/x
  3. Step 3: Cross multiply
    1,602.10x = 2,210.25 × 1,228.42
  4. Step 4: Simplify right side
    1,602.10x = 2,715,115.31
  5. Step 5: Solve for x
    x = 2,715,115.31/1,602.10
  6. Step 6: Final answer
    x = 1,694.72

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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.