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Finding the Fourth Proportional to 2,605.57, 3,595.65 and 1,426.64

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Solution

The fourth proportional to 2,605.57, 3,595.65 and 1,426.64 is: 1,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.57 : 3,595.65 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    2,605.57/3,595.65 = 1,426.64/x
  3. Step 3: Cross multiply
    2,605.57x = 3,595.65 × 1,426.64
  4. Step 4: Simplify right side
    2,605.57x = 5,129,710.10
  5. Step 5: Solve for x
    x = 5,129,710.10/2,605.57
  6. Step 6: Final answer
    x = 1,968.75

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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.