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Finding the Fourth Proportional to 1,766.51, 2,437.37 and 1,020.32

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Solution

The fourth proportional to 1,766.51, 2,437.37 and 1,020.32 is: 1,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.51 : 2,437.37 = 1,020.32 : x
  2. Step 2: Convert to fraction form
    1,766.51/2,437.37 = 1,020.32/x
  3. Step 3: Cross multiply
    1,766.51x = 2,437.37 × 1,020.32
  4. Step 4: Simplify right side
    1,766.51x = 2,486,898.35
  5. Step 5: Solve for x
    x = 2,486,898.35/1,766.51
  6. Step 6: Final answer
    x = 1,407.81

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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.