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Finding the Fourth Proportional to 1,773.84, 2,447.46 and 987.69

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Solution

The fourth proportional to 1,773.84, 2,447.46 and 987.69 is: 1,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,447.46 = 987.69 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,447.46 = 987.69/x
  3. Step 3: Cross multiply
    1,773.84x = 2,447.46 × 987.69
  4. Step 4: Simplify right side
    1,773.84x = 2,417,331.77
  5. Step 5: Solve for x
    x = 2,417,331.77/1,773.84
  6. Step 6: Final answer
    x = 1,362.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.