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Finding the Fourth Proportional to 2,360.16, 3,264.84 and 2,084.40

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Solution

The fourth proportional to 2,360.16, 3,264.84 and 2,084.40 is: 2,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.16 : 3,264.84 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,360.16/3,264.84 = 2,084.40/x
  3. Step 3: Cross multiply
    2,360.16x = 3,264.84 × 2,084.40
  4. Step 4: Simplify right side
    2,360.16x = 6,805,232.50
  5. Step 5: Solve for x
    x = 6,805,232.50/2,360.16
  6. Step 6: Final answer
    x = 2,883.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.