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Finding the Fourth Proportional to 2,530.46, 3,492.14 and 1,396.19

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Solution

The fourth proportional to 2,530.46, 3,492.14 and 1,396.19 is: 1,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.46 : 3,492.14 = 1,396.19 : x
  2. Step 2: Convert to fraction form
    2,530.46/3,492.14 = 1,396.19/x
  3. Step 3: Cross multiply
    2,530.46x = 3,492.14 × 1,396.19
  4. Step 4: Simplify right side
    2,530.46x = 4,875,666.50
  5. Step 5: Solve for x
    x = 4,875,666.50/2,530.46
  6. Step 6: Final answer
    x = 1,926.79

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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.