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Finding the Fourth Proportional to 2,358.72, 3,261.60 and 2,030.40

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Solution

The fourth proportional to 2,358.72, 3,261.60 and 2,030.40 is: 2,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.72 : 3,261.60 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    2,358.72/3,261.60 = 2,030.40/x
  3. Step 3: Cross multiply
    2,358.72x = 3,261.60 × 2,030.40
  4. Step 4: Simplify right side
    2,358.72x = 6,622,352.64
  5. Step 5: Solve for x
    x = 6,622,352.64/2,358.72
  6. Step 6: Final answer
    x = 2,807.60

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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.