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Finding the Fourth Proportional to 1,886.16, 2,602.83 and 1,046.88

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Solution

The fourth proportional to 1,886.16, 2,602.83 and 1,046.88 is: 1,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.16 : 2,602.83 = 1,046.88 : x
  2. Step 2: Convert to fraction form
    1,886.16/2,602.83 = 1,046.88/x
  3. Step 3: Cross multiply
    1,886.16x = 2,602.83 × 1,046.88
  4. Step 4: Simplify right side
    1,886.16x = 2,724,850.67
  5. Step 5: Solve for x
    x = 2,724,850.67/1,886.16
  6. Step 6: Final answer
    x = 1,444.66

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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.