Home / 1,504.60-2,258.08-984.46

Finding the Fourth Proportional to 1,504.60, 2,258.08 and 984.46

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Solution

The fourth proportional to 1,504.60, 2,258.08 and 984.46 is: 1,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.60 : 2,258.08 = 984.46 : x
  2. Step 2: Convert to fraction form
    1,504.60/2,258.08 = 984.46/x
  3. Step 3: Cross multiply
    1,504.60x = 2,258.08 × 984.46
  4. Step 4: Simplify right side
    1,504.60x = 2,222,994.30
  5. Step 5: Solve for x
    x = 2,222,994.30/1,504.60
  6. Step 6: Final answer
    x = 1,477.46

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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.