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Finding the Fourth Proportional to 1,886.82, 2,603.54 and 1,130.42

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Solution

The fourth proportional to 1,886.82, 2,603.54 and 1,130.42 is: 1,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.82 : 2,603.54 = 1,130.42 : x
  2. Step 2: Convert to fraction form
    1,886.82/2,603.54 = 1,130.42/x
  3. Step 3: Cross multiply
    1,886.82x = 2,603.54 × 1,130.42
  4. Step 4: Simplify right side
    1,886.82x = 2,943,093.69
  5. Step 5: Solve for x
    x = 2,943,093.69/1,886.82
  6. Step 6: Final answer
    x = 1,559.82

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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.