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Finding the Fourth Proportional to 3,194.51, 4,792.95 and 1,438.98

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Solution

The fourth proportional to 3,194.51, 4,792.95 and 1,438.98 is: 2,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.51 : 4,792.95 = 1,438.98 : x
  2. Step 2: Convert to fraction form
    3,194.51/4,792.95 = 1,438.98/x
  3. Step 3: Cross multiply
    3,194.51x = 4,792.95 × 1,438.98
  4. Step 4: Simplify right side
    3,194.51x = 6,896,959.19
  5. Step 5: Solve for x
    x = 6,896,959.19/3,194.51
  6. Step 6: Final answer
    x = 2,159.01

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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.