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Finding the Fourth Proportional to 1,492.27, 2,058.71 and 1,019.40

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Solution

The fourth proportional to 1,492.27, 2,058.71 and 1,019.40 is: 1,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.27 : 2,058.71 = 1,019.40 : x
  2. Step 2: Convert to fraction form
    1,492.27/2,058.71 = 1,019.40/x
  3. Step 3: Cross multiply
    1,492.27x = 2,058.71 × 1,019.40
  4. Step 4: Simplify right side
    1,492.27x = 2,098,651.52
  5. Step 5: Solve for x
    x = 2,098,651.52/1,492.27
  6. Step 6: Final answer
    x = 1,406.35

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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.