Home / 1,522.56-2,283.36-975.36

Finding the Fourth Proportional to 1,522.56, 2,283.36 and 975.36

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Solution

The fourth proportional to 1,522.56, 2,283.36 and 975.36 is: 1,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.56 : 2,283.36 = 975.36 : x
  2. Step 2: Convert to fraction form
    1,522.56/2,283.36 = 975.36/x
  3. Step 3: Cross multiply
    1,522.56x = 2,283.36 × 975.36
  4. Step 4: Simplify right side
    1,522.56x = 2,227,098.01
  5. Step 5: Solve for x
    x = 2,227,098.01/1,522.56
  6. Step 6: Final answer
    x = 1,462.73

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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.