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Finding the Fourth Proportional to 1,765.89, 2,437.04 and 1,009.91

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Solution

The fourth proportional to 1,765.89, 2,437.04 and 1,009.91 is: 1,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.89 : 2,437.04 = 1,009.91 : x
  2. Step 2: Convert to fraction form
    1,765.89/2,437.04 = 1,009.91/x
  3. Step 3: Cross multiply
    1,765.89x = 2,437.04 × 1,009.91
  4. Step 4: Simplify right side
    1,765.89x = 2,461,173.83
  5. Step 5: Solve for x
    x = 2,461,173.83/1,765.89
  6. Step 6: Final answer
    x = 1,393.73

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