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Finding the Fourth Proportional to 1,785.78, 2,465.64 and 1,156.62

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Solution

The fourth proportional to 1,785.78, 2,465.64 and 1,156.62 is: 1,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.78 : 2,465.64 = 1,156.62 : x
  2. Step 2: Convert to fraction form
    1,785.78/2,465.64 = 1,156.62/x
  3. Step 3: Cross multiply
    1,785.78x = 2,465.64 × 1,156.62
  4. Step 4: Simplify right side
    1,785.78x = 2,851,808.54
  5. Step 5: Solve for x
    x = 2,851,808.54/1,785.78
  6. Step 6: Final answer
    x = 1,596.95

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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.