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Finding the Fourth Proportional to 1,858.53, 2,564.73 and 1,050.92

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Solution

The fourth proportional to 1,858.53, 2,564.73 and 1,050.92 is: 1,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.53 : 2,564.73 = 1,050.92 : x
  2. Step 2: Convert to fraction form
    1,858.53/2,564.73 = 1,050.92/x
  3. Step 3: Cross multiply
    1,858.53x = 2,564.73 × 1,050.92
  4. Step 4: Simplify right side
    1,858.53x = 2,695,326.05
  5. Step 5: Solve for x
    x = 2,695,326.05/1,858.53
  6. Step 6: Final answer
    x = 1,450.25

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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.