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Finding the Fourth Proportional to 2,088.63, 3,132.95 and 628.01

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Solution

The fourth proportional to 2,088.63, 3,132.95 and 628.01 is: 942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.63 : 3,132.95 = 628.01 : x
  2. Step 2: Convert to fraction form
    2,088.63/3,132.95 = 628.01/x
  3. Step 3: Cross multiply
    2,088.63x = 3,132.95 × 628.01
  4. Step 4: Simplify right side
    2,088.63x = 1,967,505.12
  5. Step 5: Solve for x
    x = 1,967,505.12/2,088.63
  6. Step 6: Final answer
    x = 942.01

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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.