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Finding the Fourth Proportional to 2,014.53, 2,780.04 and 1,130.33

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Solution

The fourth proportional to 2,014.53, 2,780.04 and 1,130.33 is: 1,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.53 : 2,780.04 = 1,130.33 : x
  2. Step 2: Convert to fraction form
    2,014.53/2,780.04 = 1,130.33/x
  3. Step 3: Cross multiply
    2,014.53x = 2,780.04 × 1,130.33
  4. Step 4: Simplify right side
    2,014.53x = 3,142,362.61
  5. Step 5: Solve for x
    x = 3,142,362.61/2,014.53
  6. Step 6: Final answer
    x = 1,559.85

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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.