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Finding the Fourth Proportional to 2,045.78, 2,823.15 and 1,114.28

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Solution

The fourth proportional to 2,045.78, 2,823.15 and 1,114.28 is: 1,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.78 : 2,823.15 = 1,114.28 : x
  2. Step 2: Convert to fraction form
    2,045.78/2,823.15 = 1,114.28/x
  3. Step 3: Cross multiply
    2,045.78x = 2,823.15 × 1,114.28
  4. Step 4: Simplify right side
    2,045.78x = 3,145,779.58
  5. Step 5: Solve for x
    x = 3,145,779.58/2,045.78
  6. Step 6: Final answer
    x = 1,537.69

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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.