Home / 2,010.90-3,014.10-971.40

Finding the Fourth Proportional to 2,010.90, 3,014.10 and 971.40

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Solution

The fourth proportional to 2,010.90, 3,014.10 and 971.40 is: 1,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.90 : 3,014.10 = 971.40 : x
  2. Step 2: Convert to fraction form
    2,010.90/3,014.10 = 971.40/x
  3. Step 3: Cross multiply
    2,010.90x = 3,014.10 × 971.40
  4. Step 4: Simplify right side
    2,010.90x = 2,927,896.74
  5. Step 5: Solve for x
    x = 2,927,896.74/2,010.90
  6. Step 6: Final answer
    x = 1,456.01

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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.