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Finding the Fourth Proportional to 1,850.73, 2,551.74 and 1,407.87

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Solution

The fourth proportional to 1,850.73, 2,551.74 and 1,407.87 is: 1,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.73 : 2,551.74 = 1,407.87 : x
  2. Step 2: Convert to fraction form
    1,850.73/2,551.74 = 1,407.87/x
  3. Step 3: Cross multiply
    1,850.73x = 2,551.74 × 1,407.87
  4. Step 4: Simplify right side
    1,850.73x = 3,592,518.19
  5. Step 5: Solve for x
    x = 3,592,518.19/1,850.73
  6. Step 6: Final answer
    x = 1,941.14

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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.