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Finding the Fourth Proportional to 2,090.69, 2,886.13 and 1,345.08

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Solution

The fourth proportional to 2,090.69, 2,886.13 and 1,345.08 is: 1,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.69 : 2,886.13 = 1,345.08 : x
  2. Step 2: Convert to fraction form
    2,090.69/2,886.13 = 1,345.08/x
  3. Step 3: Cross multiply
    2,090.69x = 2,886.13 × 1,345.08
  4. Step 4: Simplify right side
    2,090.69x = 3,882,088.24
  5. Step 5: Solve for x
    x = 3,882,088.24/2,090.69
  6. Step 6: Final answer
    x = 1,856.85

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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.