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Finding the Fourth Proportional to 2,530.18, 3,492.09 and 1,931.69

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Solution

The fourth proportional to 2,530.18, 3,492.09 and 1,931.69 is: 2,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.18 : 3,492.09 = 1,931.69 : x
  2. Step 2: Convert to fraction form
    2,530.18/3,492.09 = 1,931.69/x
  3. Step 3: Cross multiply
    2,530.18x = 3,492.09 × 1,931.69
  4. Step 4: Simplify right side
    2,530.18x = 6,745,635.33
  5. Step 5: Solve for x
    x = 6,745,635.33/2,530.18
  6. Step 6: Final answer
    x = 2,666.07

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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.