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Finding the Fourth Proportional to 1,602.11, 2,210.47 and 964.23

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Solution

The fourth proportional to 1,602.11, 2,210.47 and 964.23 is: 1,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.11 : 2,210.47 = 964.23 : x
  2. Step 2: Convert to fraction form
    1,602.11/2,210.47 = 964.23/x
  3. Step 3: Cross multiply
    1,602.11x = 2,210.47 × 964.23
  4. Step 4: Simplify right side
    1,602.11x = 2,131,401.49
  5. Step 5: Solve for x
    x = 2,131,401.49/1,602.11
  6. Step 6: Final answer
    x = 1,330.37

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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.