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Finding the Fourth Proportional to 2,530.68, 3,492.25 and 1,411.57

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Solution

The fourth proportional to 2,530.68, 3,492.25 and 1,411.57 is: 1,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.68 : 3,492.25 = 1,411.57 : x
  2. Step 2: Convert to fraction form
    2,530.68/3,492.25 = 1,411.57/x
  3. Step 3: Cross multiply
    2,530.68x = 3,492.25 × 1,411.57
  4. Step 4: Simplify right side
    2,530.68x = 4,929,555.33
  5. Step 5: Solve for x
    x = 4,929,555.33/2,530.68
  6. Step 6: Final answer
    x = 1,947.92

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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.