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Finding the Fourth Proportional to 2,938.23, 4,405.95 and 989.06

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Solution

The fourth proportional to 2,938.23, 4,405.95 and 989.06 is: 1,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.23 : 4,405.95 = 989.06 : x
  2. Step 2: Convert to fraction form
    2,938.23/4,405.95 = 989.06/x
  3. Step 3: Cross multiply
    2,938.23x = 4,405.95 × 989.06
  4. Step 4: Simplify right side
    2,938.23x = 4,357,726.88
  5. Step 5: Solve for x
    x = 4,357,726.88/2,938.23
  6. Step 6: Final answer
    x = 1,483.11

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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.