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Finding the Fourth Proportional to 2,530.96, 3,492.78 and 1,411.99

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Solution

The fourth proportional to 2,530.96, 3,492.78 and 1,411.99 is: 1,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.96 : 3,492.78 = 1,411.99 : x
  2. Step 2: Convert to fraction form
    2,530.96/3,492.78 = 1,411.99/x
  3. Step 3: Cross multiply
    2,530.96x = 3,492.78 × 1,411.99
  4. Step 4: Simplify right side
    2,530.96x = 4,931,770.43
  5. Step 5: Solve for x
    x = 4,931,770.43/2,530.96
  6. Step 6: Final answer
    x = 1,948.58

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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.