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Finding the Fourth Proportional to 1,756.50, 2,423.97 and 1,135.50

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Solution

The fourth proportional to 1,756.50, 2,423.97 and 1,135.50 is: 1,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.50 : 2,423.97 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    1,756.50/2,423.97 = 1,135.50/x
  3. Step 3: Cross multiply
    1,756.50x = 2,423.97 × 1,135.50
  4. Step 4: Simplify right side
    1,756.50x = 2,752,417.94
  5. Step 5: Solve for x
    x = 2,752,417.94/1,756.50
  6. Step 6: Final answer
    x = 1,566.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.