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Finding the Fourth Proportional to 2,046.07, 2,823.59 and 1,114.57

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Solution

The fourth proportional to 2,046.07, 2,823.59 and 1,114.57 is: 1,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.07 : 2,823.59 = 1,114.57 : x
  2. Step 2: Convert to fraction form
    2,046.07/2,823.59 = 1,114.57/x
  3. Step 3: Cross multiply
    2,046.07x = 2,823.59 × 1,114.57
  4. Step 4: Simplify right side
    2,046.07x = 3,147,088.71
  5. Step 5: Solve for x
    x = 3,147,088.71/2,046.07
  6. Step 6: Final answer
    x = 1,538.11

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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.