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Finding the Fourth Proportional to 1,569.71, 2,352.51 and 692.44

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Solution

The fourth proportional to 1,569.71, 2,352.51 and 692.44 is: 1,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.71 : 2,352.51 = 692.44 : x
  2. Step 2: Convert to fraction form
    1,569.71/2,352.51 = 692.44/x
  3. Step 3: Cross multiply
    1,569.71x = 2,352.51 × 692.44
  4. Step 4: Simplify right side
    1,569.71x = 1,628,966.14
  5. Step 5: Solve for x
    x = 1,628,966.14/1,569.71
  6. Step 6: Final answer
    x = 1,037.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.