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Finding the Fourth Proportional to 2,605.53, 3,595.67 and 1,426.67

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Solution

The fourth proportional to 2,605.53, 3,595.67 and 1,426.67 is: 1,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.53 : 3,595.67 = 1,426.67 : x
  2. Step 2: Convert to fraction form
    2,605.53/3,595.67 = 1,426.67/x
  3. Step 3: Cross multiply
    2,605.53x = 3,595.67 × 1,426.67
  4. Step 4: Simplify right side
    2,605.53x = 5,129,809.41
  5. Step 5: Solve for x
    x = 5,129,809.41/2,605.53
  6. Step 6: Final answer
    x = 1,968.82

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1.5x scale

Why These Related Problems?

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