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Finding the Fourth Proportional to 1,585.77, 2,375.85 and 1,066.21

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Solution

The fourth proportional to 1,585.77, 2,375.85 and 1,066.21 is: 1,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.77 : 2,375.85 = 1,066.21 : x
  2. Step 2: Convert to fraction form
    1,585.77/2,375.85 = 1,066.21/x
  3. Step 3: Cross multiply
    1,585.77x = 2,375.85 × 1,066.21
  4. Step 4: Simplify right side
    1,585.77x = 2,533,137.82
  5. Step 5: Solve for x
    x = 2,533,137.82/1,585.77
  6. Step 6: Final answer
    x = 1,597.42

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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.