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Finding the Fourth Proportional to 2,588.51, 3,570.05 and 1,692.18

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Solution

The fourth proportional to 2,588.51, 3,570.05 and 1,692.18 is: 2,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.51 : 3,570.05 = 1,692.18 : x
  2. Step 2: Convert to fraction form
    2,588.51/3,570.05 = 1,692.18/x
  3. Step 3: Cross multiply
    2,588.51x = 3,570.05 × 1,692.18
  4. Step 4: Simplify right side
    2,588.51x = 6,041,167.21
  5. Step 5: Solve for x
    x = 6,041,167.21/2,588.51
  6. Step 6: Final answer
    x = 2,333.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.