Home / 1,539.08-2,307.74-914.64

Finding the Fourth Proportional to 1,539.08, 2,307.74 and 914.64

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Solution

The fourth proportional to 1,539.08, 2,307.74 and 914.64 is: 1,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.08 : 2,307.74 = 914.64 : x
  2. Step 2: Convert to fraction form
    1,539.08/2,307.74 = 914.64/x
  3. Step 3: Cross multiply
    1,539.08x = 2,307.74 × 914.64
  4. Step 4: Simplify right side
    1,539.08x = 2,110,751.31
  5. Step 5: Solve for x
    x = 2,110,751.31/1,539.08
  6. Step 6: Final answer
    x = 1,371.44

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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.