Home / 2,824.40-4,237.26-975.53

Finding the Fourth Proportional to 2,824.40, 4,237.26 and 975.53

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Solution

The fourth proportional to 2,824.40, 4,237.26 and 975.53 is: 1,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.40 : 4,237.26 = 975.53 : x
  2. Step 2: Convert to fraction form
    2,824.40/4,237.26 = 975.53/x
  3. Step 3: Cross multiply
    2,824.40x = 4,237.26 × 975.53
  4. Step 4: Simplify right side
    2,824.40x = 4,133,562.84
  5. Step 5: Solve for x
    x = 4,133,562.84/2,824.40
  6. Step 6: Final answer
    x = 1,463.52

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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.