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Finding the Fourth Proportional to 1,762.40, 2,642.70 and 651.76

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Solution

The fourth proportional to 1,762.40, 2,642.70 and 651.76 is: 977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.40 : 2,642.70 = 651.76 : x
  2. Step 2: Convert to fraction form
    1,762.40/2,642.70 = 651.76/x
  3. Step 3: Cross multiply
    1,762.40x = 2,642.70 × 651.76
  4. Step 4: Simplify right side
    1,762.40x = 1,722,406.15
  5. Step 5: Solve for x
    x = 1,722,406.15/1,762.40
  6. Step 6: Final answer
    x = 977.31

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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.