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Finding the Fourth Proportional to 1,492.07, 2,058.89 and 862.47

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Solution

The fourth proportional to 1,492.07, 2,058.89 and 862.47 is: 1,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.07 : 2,058.89 = 862.47 : x
  2. Step 2: Convert to fraction form
    1,492.07/2,058.89 = 862.47/x
  3. Step 3: Cross multiply
    1,492.07x = 2,058.89 × 862.47
  4. Step 4: Simplify right side
    1,492.07x = 1,775,726.55
  5. Step 5: Solve for x
    x = 1,775,726.55/1,492.07
  6. Step 6: Final answer
    x = 1,190.11

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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.