Home / 1,564.40-2,157.54-1,033.04

Finding the Fourth Proportional to 1,564.40, 2,157.54 and 1,033.04

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Solution

The fourth proportional to 1,564.40, 2,157.54 and 1,033.04 is: 1,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,157.54 = 1,033.04 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,157.54 = 1,033.04/x
  3. Step 3: Cross multiply
    1,564.40x = 2,157.54 × 1,033.04
  4. Step 4: Simplify right side
    1,564.40x = 2,228,825.12
  5. Step 5: Solve for x
    x = 2,228,825.12/1,564.40
  6. Step 6: Final answer
    x = 1,424.72

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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.