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Finding the Fourth Proportional to 1,492.51, 2,059.93 and 862.95

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Solution

The fourth proportional to 1,492.51, 2,059.93 and 862.95 is: 1,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.51 : 2,059.93 = 862.95 : x
  2. Step 2: Convert to fraction form
    1,492.51/2,059.93 = 862.95/x
  3. Step 3: Cross multiply
    1,492.51x = 2,059.93 × 862.95
  4. Step 4: Simplify right side
    1,492.51x = 1,777,601.98
  5. Step 5: Solve for x
    x = 1,777,601.98/1,492.51
  6. Step 6: Final answer
    x = 1,191.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.