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Finding the Fourth Proportional to 1,886.11, 2,602.80 and 1,046.81

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Solution

The fourth proportional to 1,886.11, 2,602.80 and 1,046.81 is: 1,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.11 : 2,602.80 = 1,046.81 : x
  2. Step 2: Convert to fraction form
    1,886.11/2,602.80 = 1,046.81/x
  3. Step 3: Cross multiply
    1,886.11x = 2,602.80 × 1,046.81
  4. Step 4: Simplify right side
    1,886.11x = 2,724,637.07
  5. Step 5: Solve for x
    x = 2,724,637.07/1,886.11
  6. Step 6: Final answer
    x = 1,444.58

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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.