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Finding the Fourth Proportional to 1,881.32, 2,810.43 and 1,356.84

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Solution

The fourth proportional to 1,881.32, 2,810.43 and 1,356.84 is: 2,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.32 : 2,810.43 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    1,881.32/2,810.43 = 1,356.84/x
  3. Step 3: Cross multiply
    1,881.32x = 2,810.43 × 1,356.84
  4. Step 4: Simplify right side
    1,881.32x = 3,813,303.84
  5. Step 5: Solve for x
    x = 3,813,303.84/1,881.32
  6. Step 6: Final answer
    x = 2,026.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.