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Finding the Fourth Proportional to 1,838.46, 2,536.56 and 1,746.12

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Solution

The fourth proportional to 1,838.46, 2,536.56 and 1,746.12 is: 2,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.46 : 2,536.56 = 1,746.12 : x
  2. Step 2: Convert to fraction form
    1,838.46/2,536.56 = 1,746.12/x
  3. Step 3: Cross multiply
    1,838.46x = 2,536.56 × 1,746.12
  4. Step 4: Simplify right side
    1,838.46x = 4,429,138.15
  5. Step 5: Solve for x
    x = 4,429,138.15/1,838.46
  6. Step 6: Final answer
    x = 2,409.16

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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.