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Finding the Fourth Proportional to 2,681.16, 4,019.58 and 948.84

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Solution

The fourth proportional to 2,681.16, 4,019.58 and 948.84 is: 1,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.16 : 4,019.58 = 948.84 : x
  2. Step 2: Convert to fraction form
    2,681.16/4,019.58 = 948.84/x
  3. Step 3: Cross multiply
    2,681.16x = 4,019.58 × 948.84
  4. Step 4: Simplify right side
    2,681.16x = 3,813,938.29
  5. Step 5: Solve for x
    x = 3,813,938.29/2,681.16
  6. Step 6: Final answer
    x = 1,422.50

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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.