Home / 1,610.58-2,222.72-947.19

Finding the Fourth Proportional to 1,610.58, 2,222.72 and 947.19

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Solution

The fourth proportional to 1,610.58, 2,222.72 and 947.19 is: 1,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.58 : 2,222.72 = 947.19 : x
  2. Step 2: Convert to fraction form
    1,610.58/2,222.72 = 947.19/x
  3. Step 3: Cross multiply
    1,610.58x = 2,222.72 × 947.19
  4. Step 4: Simplify right side
    1,610.58x = 2,105,338.16
  5. Step 5: Solve for x
    x = 2,105,338.16/1,610.58
  6. Step 6: Final answer
    x = 1,307.19

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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.