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Finding the Fourth Proportional to 2,030.47, 3,046.01 and 643.34

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Solution

The fourth proportional to 2,030.47, 3,046.01 and 643.34 is: 965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.47 : 3,046.01 = 643.34 : x
  2. Step 2: Convert to fraction form
    2,030.47/3,046.01 = 643.34/x
  3. Step 3: Cross multiply
    2,030.47x = 3,046.01 × 643.34
  4. Step 4: Simplify right side
    2,030.47x = 1,959,620.07
  5. Step 5: Solve for x
    x = 1,959,620.07/2,030.47
  6. Step 6: Final answer
    x = 965.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.