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Finding the Fourth Proportional to 2,784.30, 4,140.62 and 2,696.70

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Solution

The fourth proportional to 2,784.30, 4,140.62 and 2,696.70 is: 4,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.30 : 4,140.62 = 2,696.70 : x
  2. Step 2: Convert to fraction form
    2,784.30/4,140.62 = 2,696.70/x
  3. Step 3: Cross multiply
    2,784.30x = 4,140.62 × 2,696.70
  4. Step 4: Simplify right side
    2,784.30x = 11,166,009.95
  5. Step 5: Solve for x
    x = 11,166,009.95/2,784.30
  6. Step 6: Final answer
    x = 4,010.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.