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Finding the Fourth Proportional to 2,030.06, 3,045.09 and 643.55

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Solution

The fourth proportional to 2,030.06, 3,045.09 and 643.55 is: 965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.06 : 3,045.09 = 643.55 : x
  2. Step 2: Convert to fraction form
    2,030.06/3,045.09 = 643.55/x
  3. Step 3: Cross multiply
    2,030.06x = 3,045.09 × 643.55
  4. Step 4: Simplify right side
    2,030.06x = 1,959,654.86
  5. Step 5: Solve for x
    x = 1,959,654.86/2,030.06
  6. Step 6: Final answer
    x = 965.32

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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.