Home / 2,009.31-3,014.30-971.17

Finding the Fourth Proportional to 2,009.31, 3,014.30 and 971.17

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Solution

The fourth proportional to 2,009.31, 3,014.30 and 971.17 is: 1,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.31 : 3,014.30 = 971.17 : x
  2. Step 2: Convert to fraction form
    2,009.31/3,014.30 = 971.17/x
  3. Step 3: Cross multiply
    2,009.31x = 3,014.30 × 971.17
  4. Step 4: Simplify right side
    2,009.31x = 2,927,397.73
  5. Step 5: Solve for x
    x = 2,927,397.73/2,009.31
  6. Step 6: Final answer
    x = 1,456.92

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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.