Home / 1,576.44-2,175.90-947.00

Finding the Fourth Proportional to 1,576.44, 2,175.90 and 947.00

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Solution

The fourth proportional to 1,576.44, 2,175.90 and 947.00 is: 1,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.44 : 2,175.90 = 947.00 : x
  2. Step 2: Convert to fraction form
    1,576.44/2,175.90 = 947.00/x
  3. Step 3: Cross multiply
    1,576.44x = 2,175.90 × 947.00
  4. Step 4: Simplify right side
    1,576.44x = 2,060,566.42
  5. Step 5: Solve for x
    x = 2,060,566.42/1,576.44
  6. Step 6: Final answer
    x = 1,307.10

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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.