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Finding the Fourth Proportional to 1,875.67, 2,815.39 and 1,097.16

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Solution

The fourth proportional to 1,875.67, 2,815.39 and 1,097.16 is: 1,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.67 : 2,815.39 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    1,875.67/2,815.39 = 1,097.16/x
  3. Step 3: Cross multiply
    1,875.67x = 2,815.39 × 1,097.16
  4. Step 4: Simplify right side
    1,875.67x = 3,088,924.11
  5. Step 5: Solve for x
    x = 3,088,924.11/1,875.67
  6. Step 6: Final answer
    x = 1,646.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.