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Finding the Fourth Proportional to 1,886.04, 2,603.05 and 1,100.09

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Solution

The fourth proportional to 1,886.04, 2,603.05 and 1,100.09 is: 1,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.04 : 2,603.05 = 1,100.09 : x
  2. Step 2: Convert to fraction form
    1,886.04/2,603.05 = 1,100.09/x
  3. Step 3: Cross multiply
    1,886.04x = 2,603.05 × 1,100.09
  4. Step 4: Simplify right side
    1,886.04x = 2,863,570.76
  5. Step 5: Solve for x
    x = 2,863,570.76/1,886.04
  6. Step 6: Final answer
    x = 1,518.30

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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.