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Finding the Fourth Proportional to 2,335.49, 3,502.74 and 692.05

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Solution

The fourth proportional to 2,335.49, 3,502.74 and 692.05 is: 1,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.49 : 3,502.74 = 692.05 : x
  2. Step 2: Convert to fraction form
    2,335.49/3,502.74 = 692.05/x
  3. Step 3: Cross multiply
    2,335.49x = 3,502.74 × 692.05
  4. Step 4: Simplify right side
    2,335.49x = 2,424,071.22
  5. Step 5: Solve for x
    x = 2,424,071.22/2,335.49
  6. Step 6: Final answer
    x = 1,037.93

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1.5x scale

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.