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Finding the Fourth Proportional to 2,328.57, 3,492.86 and 2,186.01

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Solution

The fourth proportional to 2,328.57, 3,492.86 and 2,186.01 is: 3,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.57 : 3,492.86 = 2,186.01 : x
  2. Step 2: Convert to fraction form
    2,328.57/3,492.86 = 2,186.01/x
  3. Step 3: Cross multiply
    2,328.57x = 3,492.86 × 2,186.01
  4. Step 4: Simplify right side
    2,328.57x = 7,635,415.96
  5. Step 5: Solve for x
    x = 7,635,415.96/2,328.57
  6. Step 6: Final answer
    x = 3,279.02

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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.