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Finding the Fourth Proportional to 1,807.10, 2,692.60 and 1,727.50

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Solution

The fourth proportional to 1,807.10, 2,692.60 and 1,727.50 is: 2,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.10 : 2,692.60 = 1,727.50 : x
  2. Step 2: Convert to fraction form
    1,807.10/2,692.60 = 1,727.50/x
  3. Step 3: Cross multiply
    1,807.10x = 2,692.60 × 1,727.50
  4. Step 4: Simplify right side
    1,807.10x = 4,651,466.50
  5. Step 5: Solve for x
    x = 4,651,466.50/1,807.10
  6. Step 6: Final answer
    x = 2,574.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.