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Finding the Fourth Proportional to 1,557.77, 2,337.73 and 692.15

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Solution

The fourth proportional to 1,557.77, 2,337.73 and 692.15 is: 1,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.77 : 2,337.73 = 692.15 : x
  2. Step 2: Convert to fraction form
    1,557.77/2,337.73 = 692.15/x
  3. Step 3: Cross multiply
    1,557.77x = 2,337.73 × 692.15
  4. Step 4: Simplify right side
    1,557.77x = 1,618,046.40
  5. Step 5: Solve for x
    x = 1,618,046.40/1,557.77
  6. Step 6: Final answer
    x = 1,038.70

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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.