Home / 1,552.09-2,328.14-973.75

Finding the Fourth Proportional to 1,552.09, 2,328.14 and 973.75

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Solution

The fourth proportional to 1,552.09, 2,328.14 and 973.75 is: 1,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.09 : 2,328.14 = 973.75 : x
  2. Step 2: Convert to fraction form
    1,552.09/2,328.14 = 973.75/x
  3. Step 3: Cross multiply
    1,552.09x = 2,328.14 × 973.75
  4. Step 4: Simplify right side
    1,552.09x = 2,267,026.33
  5. Step 5: Solve for x
    x = 2,267,026.33/1,552.09
  6. Step 6: Final answer
    x = 1,460.63

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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.