Home / 1,848.56-2,771.40-971.18

Finding the Fourth Proportional to 1,848.56, 2,771.40 and 971.18

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Solution

The fourth proportional to 1,848.56, 2,771.40 and 971.18 is: 1,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.56 : 2,771.40 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,848.56/2,771.40 = 971.18/x
  3. Step 3: Cross multiply
    1,848.56x = 2,771.40 × 971.18
  4. Step 4: Simplify right side
    1,848.56x = 2,691,528.25
  5. Step 5: Solve for x
    x = 2,691,528.25/1,848.56
  6. Step 6: Final answer
    x = 1,456.01

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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.