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Finding the Fourth Proportional to 1,862.99, 2,569.28 and 1,529.47

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Solution

The fourth proportional to 1,862.99, 2,569.28 and 1,529.47 is: 2,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.99 : 2,569.28 = 1,529.47 : x
  2. Step 2: Convert to fraction form
    1,862.99/2,569.28 = 1,529.47/x
  3. Step 3: Cross multiply
    1,862.99x = 2,569.28 × 1,529.47
  4. Step 4: Simplify right side
    1,862.99x = 3,929,636.68
  5. Step 5: Solve for x
    x = 3,929,636.68/1,862.99
  6. Step 6: Final answer
    x = 2,109.32

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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.