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Finding the Fourth Proportional to 1,237.51, 1,852.62 and 1,184.05

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Solution

The fourth proportional to 1,237.51, 1,852.62 and 1,184.05 is: 1,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.51 : 1,852.62 = 1,184.05 : x
  2. Step 2: Convert to fraction form
    1,237.51/1,852.62 = 1,184.05/x
  3. Step 3: Cross multiply
    1,237.51x = 1,852.62 × 1,184.05
  4. Step 4: Simplify right side
    1,237.51x = 2,193,594.71
  5. Step 5: Solve for x
    x = 2,193,594.71/1,237.51
  6. Step 6: Final answer
    x = 1,772.59

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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.