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Finding the Fourth Proportional to 2,262.94, 3,125.02 and 2,140.24

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Solution

The fourth proportional to 2,262.94, 3,125.02 and 2,140.24 is: 2,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.94 : 3,125.02 = 2,140.24 : x
  2. Step 2: Convert to fraction form
    2,262.94/3,125.02 = 2,140.24/x
  3. Step 3: Cross multiply
    2,262.94x = 3,125.02 × 2,140.24
  4. Step 4: Simplify right side
    2,262.94x = 6,688,292.80
  5. Step 5: Solve for x
    x = 6,688,292.80/2,262.94
  6. Step 6: Final answer
    x = 2,955.58

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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.