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Finding the Fourth Proportional to 2,153.12, 2,970.27 and 1,913.78

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Solution

The fourth proportional to 2,153.12, 2,970.27 and 1,913.78 is: 2,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.12 : 2,970.27 = 1,913.78 : x
  2. Step 2: Convert to fraction form
    2,153.12/2,970.27 = 1,913.78/x
  3. Step 3: Cross multiply
    2,153.12x = 2,970.27 × 1,913.78
  4. Step 4: Simplify right side
    2,153.12x = 5,684,443.32
  5. Step 5: Solve for x
    x = 5,684,443.32/2,153.12
  6. Step 6: Final answer
    x = 2,640.10

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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.