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Finding the Fourth Proportional to 2,097.81, 2,894.91 and 1,153.60

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Solution

The fourth proportional to 2,097.81, 2,894.91 and 1,153.60 is: 1,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.81 : 2,894.91 = 1,153.60 : x
  2. Step 2: Convert to fraction form
    2,097.81/2,894.91 = 1,153.60/x
  3. Step 3: Cross multiply
    2,097.81x = 2,894.91 × 1,153.60
  4. Step 4: Simplify right side
    2,097.81x = 3,339,547.93
  5. Step 5: Solve for x
    x = 3,339,547.93/2,097.81
  6. Step 6: Final answer
    x = 1,591.92

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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.