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Finding the Fourth Proportional to 2,328.59, 3,492.93 and 1,864.21

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Solution

The fourth proportional to 2,328.59, 3,492.93 and 1,864.21 is: 2,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.59 : 3,492.93 = 1,864.21 : x
  2. Step 2: Convert to fraction form
    2,328.59/3,492.93 = 1,864.21/x
  3. Step 3: Cross multiply
    2,328.59x = 3,492.93 × 1,864.21
  4. Step 4: Simplify right side
    2,328.59x = 6,511,555.04
  5. Step 5: Solve for x
    x = 6,511,555.04/2,328.59
  6. Step 6: Final answer
    x = 2,796.35

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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.