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Finding the Fourth Proportional to 2,776.30, 3,830.66 and 1,657.60

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Solution

The fourth proportional to 2,776.30, 3,830.66 and 1,657.60 is: 2,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.30 : 3,830.66 = 1,657.60 : x
  2. Step 2: Convert to fraction form
    2,776.30/3,830.66 = 1,657.60/x
  3. Step 3: Cross multiply
    2,776.30x = 3,830.66 × 1,657.60
  4. Step 4: Simplify right side
    2,776.30x = 6,349,690.37
  5. Step 5: Solve for x
    x = 6,349,690.37/2,776.30
  6. Step 6: Final answer
    x = 2,287.11

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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.