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Finding the Fourth Proportional to 1,492.10, 2,058.56 and 902.42

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Solution

The fourth proportional to 1,492.10, 2,058.56 and 902.42 is: 1,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.10 : 2,058.56 = 902.42 : x
  2. Step 2: Convert to fraction form
    1,492.10/2,058.56 = 902.42/x
  3. Step 3: Cross multiply
    1,492.10x = 2,058.56 × 902.42
  4. Step 4: Simplify right side
    1,492.10x = 1,857,685.72
  5. Step 5: Solve for x
    x = 1,857,685.72/1,492.10
  6. Step 6: Final answer
    x = 1,245.01

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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.