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Finding the Fourth Proportional to 2,352.97, 3,530.40 and 1,055.35

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Solution

The fourth proportional to 2,352.97, 3,530.40 and 1,055.35 is: 1,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.97 : 3,530.40 = 1,055.35 : x
  2. Step 2: Convert to fraction form
    2,352.97/3,530.40 = 1,055.35/x
  3. Step 3: Cross multiply
    2,352.97x = 3,530.40 × 1,055.35
  4. Step 4: Simplify right side
    2,352.97x = 3,725,807.64
  5. Step 5: Solve for x
    x = 3,725,807.64/2,352.97
  6. Step 6: Final answer
    x = 1,583.45

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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.