Home / 2,678.24-4,017.36-947.12

Finding the Fourth Proportional to 2,678.24, 4,017.36 and 947.12

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Solution

The fourth proportional to 2,678.24, 4,017.36 and 947.12 is: 1,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.24 : 4,017.36 = 947.12 : x
  2. Step 2: Convert to fraction form
    2,678.24/4,017.36 = 947.12/x
  3. Step 3: Cross multiply
    2,678.24x = 4,017.36 × 947.12
  4. Step 4: Simplify right side
    2,678.24x = 3,804,922.00
  5. Step 5: Solve for x
    x = 3,804,922.00/2,678.24
  6. Step 6: Final answer
    x = 1,420.68

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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.