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Finding the Fourth Proportional to 1,710.11, 2,563.11 and 784.38

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Solution

The fourth proportional to 1,710.11, 2,563.11 and 784.38 is: 1,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.11 : 2,563.11 = 784.38 : x
  2. Step 2: Convert to fraction form
    1,710.11/2,563.11 = 784.38/x
  3. Step 3: Cross multiply
    1,710.11x = 2,563.11 × 784.38
  4. Step 4: Simplify right side
    1,710.11x = 2,010,461.83
  5. Step 5: Solve for x
    x = 2,010,461.83/1,710.11
  6. Step 6: Final answer
    x = 1,175.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.