Home / 1,461.06-2,190.93-766.14

Finding the Fourth Proportional to 1,461.06, 2,190.93 and 766.14

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Solution

The fourth proportional to 1,461.06, 2,190.93 and 766.14 is: 1,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.06 : 2,190.93 = 766.14 : x
  2. Step 2: Convert to fraction form
    1,461.06/2,190.93 = 766.14/x
  3. Step 3: Cross multiply
    1,461.06x = 2,190.93 × 766.14
  4. Step 4: Simplify right side
    1,461.06x = 1,678,559.11
  5. Step 5: Solve for x
    x = 1,678,559.11/1,461.06
  6. Step 6: Final answer
    x = 1,148.86

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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.