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Finding the Fourth Proportional to 1,237.86, 1,856.88 and 416.22

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Solution

The fourth proportional to 1,237.86, 1,856.88 and 416.22 is: 624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.86 : 1,856.88 = 416.22 : x
  2. Step 2: Convert to fraction form
    1,237.86/1,856.88 = 416.22/x
  3. Step 3: Cross multiply
    1,237.86x = 1,856.88 × 416.22
  4. Step 4: Simplify right side
    1,237.86x = 772,870.59
  5. Step 5: Solve for x
    x = 772,870.59/1,237.86
  6. Step 6: Final answer
    x = 624.36

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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.