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Finding the Fourth Proportional to 1,931.87, 2,895.47 and 890.44

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Solution

The fourth proportional to 1,931.87, 2,895.47 and 890.44 is: 1,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.87 : 2,895.47 = 890.44 : x
  2. Step 2: Convert to fraction form
    1,931.87/2,895.47 = 890.44/x
  3. Step 3: Cross multiply
    1,931.87x = 2,895.47 × 890.44
  4. Step 4: Simplify right side
    1,931.87x = 2,578,242.31
  5. Step 5: Solve for x
    x = 2,578,242.31/1,931.87
  6. Step 6: Final answer
    x = 1,334.58

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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.