Home / 1,509.60-2,083.31-880.53

Finding the Fourth Proportional to 1,509.60, 2,083.31 and 880.53

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Solution

The fourth proportional to 1,509.60, 2,083.31 and 880.53 is: 1,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.60 : 2,083.31 = 880.53 : x
  2. Step 2: Convert to fraction form
    1,509.60/2,083.31 = 880.53/x
  3. Step 3: Cross multiply
    1,509.60x = 2,083.31 × 880.53
  4. Step 4: Simplify right side
    1,509.60x = 1,834,416.95
  5. Step 5: Solve for x
    x = 1,834,416.95/1,509.60
  6. Step 6: Final answer
    x = 1,215.17

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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.