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Finding the Fourth Proportional to 1,837.46, 2,535.90 and 1,051.65

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Solution

The fourth proportional to 1,837.46, 2,535.90 and 1,051.65 is: 1,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.46 : 2,535.90 = 1,051.65 : x
  2. Step 2: Convert to fraction form
    1,837.46/2,535.90 = 1,051.65/x
  3. Step 3: Cross multiply
    1,837.46x = 2,535.90 × 1,051.65
  4. Step 4: Simplify right side
    1,837.46x = 2,666,879.24
  5. Step 5: Solve for x
    x = 2,666,879.24/1,837.46
  6. Step 6: Final answer
    x = 1,451.40

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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.