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Finding the Fourth Proportional to 1,237.49, 1,852.46 and 1,062.53

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Solution

The fourth proportional to 1,237.49, 1,852.46 and 1,062.53 is: 1,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.49 : 1,852.46 = 1,062.53 : x
  2. Step 2: Convert to fraction form
    1,237.49/1,852.46 = 1,062.53/x
  3. Step 3: Cross multiply
    1,237.49x = 1,852.46 × 1,062.53
  4. Step 4: Simplify right side
    1,237.49x = 1,968,289.01
  5. Step 5: Solve for x
    x = 1,968,289.01/1,237.49
  6. Step 6: Final answer
    x = 1,590.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.