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Finding the Fourth Proportional to 2,013.76, 2,779.12 and 1,129.58

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Solution

The fourth proportional to 2,013.76, 2,779.12 and 1,129.58 is: 1,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.76 : 2,779.12 = 1,129.58 : x
  2. Step 2: Convert to fraction form
    2,013.76/2,779.12 = 1,129.58/x
  3. Step 3: Cross multiply
    2,013.76x = 2,779.12 × 1,129.58
  4. Step 4: Simplify right side
    2,013.76x = 3,139,238.37
  5. Step 5: Solve for x
    x = 3,139,238.37/2,013.76
  6. Step 6: Final answer
    x = 1,558.89

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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.