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Finding the Fourth Proportional to 2,345.76, 3,518.10 and 884.52

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Solution

The fourth proportional to 2,345.76, 3,518.10 and 884.52 is: 1,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,518.10 = 884.52 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,518.10 = 884.52/x
  3. Step 3: Cross multiply
    2,345.76x = 3,518.10 × 884.52
  4. Step 4: Simplify right side
    2,345.76x = 3,111,829.81
  5. Step 5: Solve for x
    x = 3,111,829.81/2,345.76
  6. Step 6: Final answer
    x = 1,326.58

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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.