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Finding the Fourth Proportional to 1,762.31, 2,641.82 and 607.25

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Solution

The fourth proportional to 1,762.31, 2,641.82 and 607.25 is: 910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.31 : 2,641.82 = 607.25 : x
  2. Step 2: Convert to fraction form
    1,762.31/2,641.82 = 607.25/x
  3. Step 3: Cross multiply
    1,762.31x = 2,641.82 × 607.25
  4. Step 4: Simplify right side
    1,762.31x = 1,604,245.20
  5. Step 5: Solve for x
    x = 1,604,245.20/1,762.31
  6. Step 6: Final answer
    x = 910.31

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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.