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Finding the Fourth Proportional to 2,530.85, 3,492.82 and 1,536.22

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Solution

The fourth proportional to 2,530.85, 3,492.82 and 1,536.22 is: 2,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.85 : 3,492.82 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    2,530.85/3,492.82 = 1,536.22/x
  3. Step 3: Cross multiply
    2,530.85x = 3,492.82 × 1,536.22
  4. Step 4: Simplify right side
    2,530.85x = 5,365,726.58
  5. Step 5: Solve for x
    x = 5,365,726.58/2,530.85
  6. Step 6: Final answer
    x = 2,120.13

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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.