Home / 2,165.29-2,984.02-1,566.77

Finding the Fourth Proportional to 2,165.29, 2,984.02 and 1,566.77

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Solution

The fourth proportional to 2,165.29, 2,984.02 and 1,566.77 is: 2,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.29 : 2,984.02 = 1,566.77 : x
  2. Step 2: Convert to fraction form
    2,165.29/2,984.02 = 1,566.77/x
  3. Step 3: Cross multiply
    2,165.29x = 2,984.02 × 1,566.77
  4. Step 4: Simplify right side
    2,165.29x = 4,675,273.02
  5. Step 5: Solve for x
    x = 4,675,273.02/2,165.29
  6. Step 6: Final answer
    x = 2,159.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.