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Finding the Fourth Proportional to 1,838.56, 2,537.04 and 1,490.08

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Solution

The fourth proportional to 1,838.56, 2,537.04 and 1,490.08 is: 2,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.56 : 2,537.04 = 1,490.08 : x
  2. Step 2: Convert to fraction form
    1,838.56/2,537.04 = 1,490.08/x
  3. Step 3: Cross multiply
    1,838.56x = 2,537.04 × 1,490.08
  4. Step 4: Simplify right side
    1,838.56x = 3,780,392.56
  5. Step 5: Solve for x
    x = 3,780,392.56/1,838.56
  6. Step 6: Final answer
    x = 2,056.17

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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.