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Finding the Fourth Proportional to 1,597.58, 2,393.25 and 1,048.09

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Solution

The fourth proportional to 1,597.58, 2,393.25 and 1,048.09 is: 1,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.58 : 2,393.25 = 1,048.09 : x
  2. Step 2: Convert to fraction form
    1,597.58/2,393.25 = 1,048.09/x
  3. Step 3: Cross multiply
    1,597.58x = 2,393.25 × 1,048.09
  4. Step 4: Simplify right side
    1,597.58x = 2,508,341.39
  5. Step 5: Solve for x
    x = 2,508,341.39/1,597.58
  6. Step 6: Final answer
    x = 1,570.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.