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Finding the Fourth Proportional to 1,785.53, 2,462.85 and 1,365.95

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Solution

The fourth proportional to 1,785.53, 2,462.85 and 1,365.95 is: 1,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.53 : 2,462.85 = 1,365.95 : x
  2. Step 2: Convert to fraction form
    1,785.53/2,462.85 = 1,365.95/x
  3. Step 3: Cross multiply
    1,785.53x = 2,462.85 × 1,365.95
  4. Step 4: Simplify right side
    1,785.53x = 3,364,117.64
  5. Step 5: Solve for x
    x = 3,364,117.64/1,785.53
  6. Step 6: Final answer
    x = 1,884.11

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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.