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Finding the Fourth Proportional to 2,065.59, 2,850.86 and 1,402

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Solution

The fourth proportional to 2,065.59, 2,850.86 and 1,402 is: 1,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.59 : 2,850.86 = 1,402 : x
  2. Step 2: Convert to fraction form
    2,065.59/2,850.86 = 1,402/x
  3. Step 3: Cross multiply
    2,065.59x = 2,850.86 × 1,402
  4. Step 4: Simplify right side
    2,065.59x = 3,996,905.72
  5. Step 5: Solve for x
    x = 3,996,905.72/2,065.59
  6. Step 6: Final answer
    x = 1,934.99

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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.