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Finding the Fourth Proportional to 1,784.71, 2,462.71 and 1,038.70

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Solution

The fourth proportional to 1,784.71, 2,462.71 and 1,038.70 is: 1,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.71 : 2,462.71 = 1,038.70 : x
  2. Step 2: Convert to fraction form
    1,784.71/2,462.71 = 1,038.70/x
  3. Step 3: Cross multiply
    1,784.71x = 2,462.71 × 1,038.70
  4. Step 4: Simplify right side
    1,784.71x = 2,558,016.88
  5. Step 5: Solve for x
    x = 2,558,016.88/1,784.71
  6. Step 6: Final answer
    x = 1,433.30

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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.