Home / 1,564.50-2,159.94-975.84

Finding the Fourth Proportional to 1,564.50, 2,159.94 and 975.84

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Solution

The fourth proportional to 1,564.50, 2,159.94 and 975.84 is: 1,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.50 : 2,159.94 = 975.84 : x
  2. Step 2: Convert to fraction form
    1,564.50/2,159.94 = 975.84/x
  3. Step 3: Cross multiply
    1,564.50x = 2,159.94 × 975.84
  4. Step 4: Simplify right side
    1,564.50x = 2,107,755.85
  5. Step 5: Solve for x
    x = 2,107,755.85/1,564.50
  6. Step 6: Final answer
    x = 1,347.24

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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.