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Finding the Fourth Proportional to 2,036.66, 3,048.08 and 1,257.18

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Solution

The fourth proportional to 2,036.66, 3,048.08 and 1,257.18 is: 1,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.66 : 3,048.08 = 1,257.18 : x
  2. Step 2: Convert to fraction form
    2,036.66/3,048.08 = 1,257.18/x
  3. Step 3: Cross multiply
    2,036.66x = 3,048.08 × 1,257.18
  4. Step 4: Simplify right side
    2,036.66x = 3,831,985.21
  5. Step 5: Solve for x
    x = 3,831,985.21/2,036.66
  6. Step 6: Final answer
    x = 1,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.