Home / 1,646.20-2,271.75-900.14

Finding the Fourth Proportional to 1,646.20, 2,271.75 and 900.14

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Solution

The fourth proportional to 1,646.20, 2,271.75 and 900.14 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.20 : 2,271.75 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,646.20/2,271.75 = 900.14/x
  3. Step 3: Cross multiply
    1,646.20x = 2,271.75 × 900.14
  4. Step 4: Simplify right side
    1,646.20x = 2,044,893.05
  5. Step 5: Solve for x
    x = 2,044,893.05/1,646.20
  6. Step 6: Final answer
    x = 1,242.19

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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.