Home / 1,574.10-2,172.24-875.46

Finding the Fourth Proportional to 1,574.10, 2,172.24 and 875.46

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Solution

The fourth proportional to 1,574.10, 2,172.24 and 875.46 is: 1,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.10 : 2,172.24 = 875.46 : x
  2. Step 2: Convert to fraction form
    1,574.10/2,172.24 = 875.46/x
  3. Step 3: Cross multiply
    1,574.10x = 2,172.24 × 875.46
  4. Step 4: Simplify right side
    1,574.10x = 1,901,709.23
  5. Step 5: Solve for x
    x = 1,901,709.23/1,574.10
  6. Step 6: Final answer
    x = 1,208.12

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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.