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Finding the Fourth Proportional to 2,127.08, 3,189.91 and 894.26

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Solution

The fourth proportional to 2,127.08, 3,189.91 and 894.26 is: 1,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.08 : 3,189.91 = 894.26 : x
  2. Step 2: Convert to fraction form
    2,127.08/3,189.91 = 894.26/x
  3. Step 3: Cross multiply
    2,127.08x = 3,189.91 × 894.26
  4. Step 4: Simplify right side
    2,127.08x = 2,852,598.71
  5. Step 5: Solve for x
    x = 2,852,598.71/2,127.08
  6. Step 6: Final answer
    x = 1,341.09

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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.