Home / 1,567.04-2,162.72-946.08

Finding the Fourth Proportional to 1,567.04, 2,162.72 and 946.08

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Solution

The fourth proportional to 1,567.04, 2,162.72 and 946.08 is: 1,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.04 : 2,162.72 = 946.08 : x
  2. Step 2: Convert to fraction form
    1,567.04/2,162.72 = 946.08/x
  3. Step 3: Cross multiply
    1,567.04x = 2,162.72 × 946.08
  4. Step 4: Simplify right side
    1,567.04x = 2,046,106.14
  5. Step 5: Solve for x
    x = 2,046,106.14/1,567.04
  6. Step 6: Final answer
    x = 1,305.71

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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.