Home / 1,650.14-2,277.08-942.10

Finding the Fourth Proportional to 1,650.14, 2,277.08 and 942.10

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Solution

The fourth proportional to 1,650.14, 2,277.08 and 942.10 is: 1,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.14 : 2,277.08 = 942.10 : x
  2. Step 2: Convert to fraction form
    1,650.14/2,277.08 = 942.10/x
  3. Step 3: Cross multiply
    1,650.14x = 2,277.08 × 942.10
  4. Step 4: Simplify right side
    1,650.14x = 2,145,237.07
  5. Step 5: Solve for x
    x = 2,145,237.07/1,650.14
  6. Step 6: Final answer
    x = 1,300.03

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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.