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Finding the Fourth Proportional to 1,915.99, 2,643.75 and 1,130.20

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Solution

The fourth proportional to 1,915.99, 2,643.75 and 1,130.20 is: 1,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.99 : 2,643.75 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    1,915.99/2,643.75 = 1,130.20/x
  3. Step 3: Cross multiply
    1,915.99x = 2,643.75 × 1,130.20
  4. Step 4: Simplify right side
    1,915.99x = 2,987,953.03
  5. Step 5: Solve for x
    x = 2,987,953.03/1,915.99
  6. Step 6: Final answer
    x = 1,559.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.