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Finding the Fourth Proportional to 2,088.74, 3,133.54 and 627.76

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Solution

The fourth proportional to 2,088.74, 3,133.54 and 627.76 is: 941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.74 : 3,133.54 = 627.76 : x
  2. Step 2: Convert to fraction form
    2,088.74/3,133.54 = 627.76/x
  3. Step 3: Cross multiply
    2,088.74x = 3,133.54 × 627.76
  4. Step 4: Simplify right side
    2,088.74x = 1,967,111.07
  5. Step 5: Solve for x
    x = 1,967,111.07/2,088.74
  6. Step 6: Final answer
    x = 941.77

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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.