Home / 1,703.14-2,552.26-971.18

Finding the Fourth Proportional to 1,703.14, 2,552.26 and 971.18

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Solution

The fourth proportional to 1,703.14, 2,552.26 and 971.18 is: 1,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.14 : 2,552.26 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,703.14/2,552.26 = 971.18/x
  3. Step 3: Cross multiply
    1,703.14x = 2,552.26 × 971.18
  4. Step 4: Simplify right side
    1,703.14x = 2,478,703.87
  5. Step 5: Solve for x
    x = 2,478,703.87/1,703.14
  6. Step 6: Final answer
    x = 1,455.37

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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.