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Finding the Fourth Proportional to 2,783.60, 4,175.10 and 1,140.32

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Solution

The fourth proportional to 2,783.60, 4,175.10 and 1,140.32 is: 1,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.60 : 4,175.10 = 1,140.32 : x
  2. Step 2: Convert to fraction form
    2,783.60/4,175.10 = 1,140.32/x
  3. Step 3: Cross multiply
    2,783.60x = 4,175.10 × 1,140.32
  4. Step 4: Simplify right side
    2,783.60x = 4,760,950.03
  5. Step 5: Solve for x
    x = 4,760,950.03/2,783.60
  6. Step 6: Final answer
    x = 1,710.36

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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.