Home / 1,564.24-2,159.04-975.46

Finding the Fourth Proportional to 1,564.24, 2,159.04 and 975.46

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Solution

The fourth proportional to 1,564.24, 2,159.04 and 975.46 is: 1,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.24 : 2,159.04 = 975.46 : x
  2. Step 2: Convert to fraction form
    1,564.24/2,159.04 = 975.46/x
  3. Step 3: Cross multiply
    1,564.24x = 2,159.04 × 975.46
  4. Step 4: Simplify right side
    1,564.24x = 2,106,057.16
  5. Step 5: Solve for x
    x = 2,106,057.16/1,564.24
  6. Step 6: Final answer
    x = 1,346.38

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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.