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Finding the Fourth Proportional to 1,784.88, 2,460.51 and 1,155.33

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Solution

The fourth proportional to 1,784.88, 2,460.51 and 1,155.33 is: 1,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.88 : 2,460.51 = 1,155.33 : x
  2. Step 2: Convert to fraction form
    1,784.88/2,460.51 = 1,155.33/x
  3. Step 3: Cross multiply
    1,784.88x = 2,460.51 × 1,155.33
  4. Step 4: Simplify right side
    1,784.88x = 2,842,701.02
  5. Step 5: Solve for x
    x = 2,842,701.02/1,784.88
  6. Step 6: Final answer
    x = 1,592.66

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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.