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Finding the Fourth Proportional to 1,925.17, 2,887.85 and 692.26

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Solution

The fourth proportional to 1,925.17, 2,887.85 and 692.26 is: 1,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.17 : 2,887.85 = 692.26 : x
  2. Step 2: Convert to fraction form
    1,925.17/2,887.85 = 692.26/x
  3. Step 3: Cross multiply
    1,925.17x = 2,887.85 × 692.26
  4. Step 4: Simplify right side
    1,925.17x = 1,999,137.55
  5. Step 5: Solve for x
    x = 1,999,137.55/1,925.17
  6. Step 6: Final answer
    x = 1,038.42

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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.