Home / 2,010.40-3,016.58-971.26

Finding the Fourth Proportional to 2,010.40, 3,016.58 and 971.26

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Solution

The fourth proportional to 2,010.40, 3,016.58 and 971.26 is: 1,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.40 : 3,016.58 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,010.40/3,016.58 = 971.26/x
  3. Step 3: Cross multiply
    2,010.40x = 3,016.58 × 971.26
  4. Step 4: Simplify right side
    2,010.40x = 2,929,883.49
  5. Step 5: Solve for x
    x = 2,929,883.49/2,010.40
  6. Step 6: Final answer
    x = 1,457.36

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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.