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Finding the Fourth Proportional to 1,583.75, 2,374.72 and 934.94

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Solution

The fourth proportional to 1,583.75, 2,374.72 and 934.94 is: 1,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.75 : 2,374.72 = 934.94 : x
  2. Step 2: Convert to fraction form
    1,583.75/2,374.72 = 934.94/x
  3. Step 3: Cross multiply
    1,583.75x = 2,374.72 × 934.94
  4. Step 4: Simplify right side
    1,583.75x = 2,220,224.32
  5. Step 5: Solve for x
    x = 2,220,224.32/1,583.75
  6. Step 6: Final answer
    x = 1,401.88

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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.