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Finding the Fourth Proportional to 1,886.70, 2,603.66 and 1,141.15

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Solution

The fourth proportional to 1,886.70, 2,603.66 and 1,141.15 is: 1,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.70 : 2,603.66 = 1,141.15 : x
  2. Step 2: Convert to fraction form
    1,886.70/2,603.66 = 1,141.15/x
  3. Step 3: Cross multiply
    1,886.70x = 2,603.66 × 1,141.15
  4. Step 4: Simplify right side
    1,886.70x = 2,971,160.90
  5. Step 5: Solve for x
    x = 2,971,160.90/1,886.70
  6. Step 6: Final answer
    x = 1,574.80

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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.