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Finding the Fourth Proportional to 2,783.70, 4,175.46 and 1,140.24

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Solution

The fourth proportional to 2,783.70, 4,175.46 and 1,140.24 is: 1,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.70 : 4,175.46 = 1,140.24 : x
  2. Step 2: Convert to fraction form
    2,783.70/4,175.46 = 1,140.24/x
  3. Step 3: Cross multiply
    2,783.70x = 4,175.46 × 1,140.24
  4. Step 4: Simplify right side
    2,783.70x = 4,761,026.51
  5. Step 5: Solve for x
    x = 4,761,026.51/2,783.70
  6. Step 6: Final answer
    x = 1,710.32

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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.