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Finding the Fourth Proportional to 2,597.25, 3,585.06 and 1,851.51

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Solution

The fourth proportional to 2,597.25, 3,585.06 and 1,851.51 is: 2,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.25 : 3,585.06 = 1,851.51 : x
  2. Step 2: Convert to fraction form
    2,597.25/3,585.06 = 1,851.51/x
  3. Step 3: Cross multiply
    2,597.25x = 3,585.06 × 1,851.51
  4. Step 4: Simplify right side
    2,597.25x = 6,637,774.44
  5. Step 5: Solve for x
    x = 6,637,774.44/2,597.25
  6. Step 6: Final answer
    x = 2,555.69

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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.