Home / 1,654.58-2,284.25-1,157.04

Finding the Fourth Proportional to 1,654.58, 2,284.25 and 1,157.04

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Solution

The fourth proportional to 1,654.58, 2,284.25 and 1,157.04 is: 1,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.58 : 2,284.25 = 1,157.04 : x
  2. Step 2: Convert to fraction form
    1,654.58/2,284.25 = 1,157.04/x
  3. Step 3: Cross multiply
    1,654.58x = 2,284.25 × 1,157.04
  4. Step 4: Simplify right side
    1,654.58x = 2,642,962.83
  5. Step 5: Solve for x
    x = 2,642,962.83/1,654.58
  6. Step 6: Final answer
    x = 1,597.37

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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.