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Finding the Fourth Proportional to 1,860.08, 2,789.76 and 705.60

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Solution

The fourth proportional to 1,860.08, 2,789.76 and 705.60 is: 1,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.08 : 2,789.76 = 705.60 : x
  2. Step 2: Convert to fraction form
    1,860.08/2,789.76 = 705.60/x
  3. Step 3: Cross multiply
    1,860.08x = 2,789.76 × 705.60
  4. Step 4: Simplify right side
    1,860.08x = 1,968,454.66
  5. Step 5: Solve for x
    x = 1,968,454.66/1,860.08
  6. Step 6: Final answer
    x = 1,058.26

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