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Finding the Fourth Proportional to 1,513.06, 2,087.97 and 924.58

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Solution

The fourth proportional to 1,513.06, 2,087.97 and 924.58 is: 1,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.06 : 2,087.97 = 924.58 : x
  2. Step 2: Convert to fraction form
    1,513.06/2,087.97 = 924.58/x
  3. Step 3: Cross multiply
    1,513.06x = 2,087.97 × 924.58
  4. Step 4: Simplify right side
    1,513.06x = 1,930,495.30
  5. Step 5: Solve for x
    x = 1,930,495.30/1,513.06
  6. Step 6: Final answer
    x = 1,275.89

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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.