Home / 1,564.50-2,159.46-1,033.76

Finding the Fourth Proportional to 1,564.50, 2,159.46 and 1,033.76

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Solution

The fourth proportional to 1,564.50, 2,159.46 and 1,033.76 is: 1,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.50 : 2,159.46 = 1,033.76 : x
  2. Step 2: Convert to fraction form
    1,564.50/2,159.46 = 1,033.76/x
  3. Step 3: Cross multiply
    1,564.50x = 2,159.46 × 1,033.76
  4. Step 4: Simplify right side
    1,564.50x = 2,232,363.37
  5. Step 5: Solve for x
    x = 2,232,363.37/1,564.50
  6. Step 6: Final answer
    x = 1,426.89

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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.