Home / 1,591.69-2,386.26-975.28

Finding the Fourth Proportional to 1,591.69, 2,386.26 and 975.28

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Solution

The fourth proportional to 1,591.69, 2,386.26 and 975.28 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.69 : 2,386.26 = 975.28 : x
  2. Step 2: Convert to fraction form
    1,591.69/2,386.26 = 975.28/x
  3. Step 3: Cross multiply
    1,591.69x = 2,386.26 × 975.28
  4. Step 4: Simplify right side
    1,591.69x = 2,327,271.65
  5. Step 5: Solve for x
    x = 2,327,271.65/1,591.69
  6. Step 6: Final answer
    x = 1,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.