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Finding the Fourth Proportional to 1,762.70, 2,402.19 and 1,756.22

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Solution

The fourth proportional to 1,762.70, 2,402.19 and 1,756.22 is: 2,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.70 : 2,402.19 = 1,756.22 : x
  2. Step 2: Convert to fraction form
    1,762.70/2,402.19 = 1,756.22/x
  3. Step 3: Cross multiply
    1,762.70x = 2,402.19 × 1,756.22
  4. Step 4: Simplify right side
    1,762.70x = 4,218,762.11
  5. Step 5: Solve for x
    x = 4,218,762.11/1,762.70
  6. Step 6: Final answer
    x = 2,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.