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Finding the Fourth Proportional to 4,892.54, 7,338.80 and 1,970.17

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Solution

The fourth proportional to 4,892.54, 7,338.80 and 1,970.17 is: 2,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.54 : 7,338.80 = 1,970.17 : x
  2. Step 2: Convert to fraction form
    4,892.54/7,338.80 = 1,970.17/x
  3. Step 3: Cross multiply
    4,892.54x = 7,338.80 × 1,970.17
  4. Step 4: Simplify right side
    4,892.54x = 14,458,670.17
  5. Step 5: Solve for x
    x = 14,458,670.17/4,892.54
  6. Step 6: Final answer
    x = 2,955.25

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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.