Home / 2,126.19-3,187.65-971.13

Finding the Fourth Proportional to 2,126.19, 3,187.65 and 971.13

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Solution

The fourth proportional to 2,126.19, 3,187.65 and 971.13 is: 1,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.19 : 3,187.65 = 971.13 : x
  2. Step 2: Convert to fraction form
    2,126.19/3,187.65 = 971.13/x
  3. Step 3: Cross multiply
    2,126.19x = 3,187.65 × 971.13
  4. Step 4: Simplify right side
    2,126.19x = 3,095,622.54
  5. Step 5: Solve for x
    x = 3,095,622.54/2,126.19
  6. Step 6: Final answer
    x = 1,455.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.