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Finding the Fourth Proportional to 2,765.59, 3,815.74 and 1,925.35

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Solution

The fourth proportional to 2,765.59, 3,815.74 and 1,925.35 is: 2,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.59 : 3,815.74 = 1,925.35 : x
  2. Step 2: Convert to fraction form
    2,765.59/3,815.74 = 1,925.35/x
  3. Step 3: Cross multiply
    2,765.59x = 3,815.74 × 1,925.35
  4. Step 4: Simplify right side
    2,765.59x = 7,346,635.01
  5. Step 5: Solve for x
    x = 7,346,635.01/2,765.59
  6. Step 6: Final answer
    x = 2,656.44

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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.