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Finding the Fourth Proportional to 2,345.63, 3,518.91 and 1,047.09

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Solution

The fourth proportional to 2,345.63, 3,518.91 and 1,047.09 is: 1,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.63 : 3,518.91 = 1,047.09 : x
  2. Step 2: Convert to fraction form
    2,345.63/3,518.91 = 1,047.09/x
  3. Step 3: Cross multiply
    2,345.63x = 3,518.91 × 1,047.09
  4. Step 4: Simplify right side
    2,345.63x = 3,684,628.67
  5. Step 5: Solve for x
    x = 3,684,628.67/2,345.63
  6. Step 6: Final answer
    x = 1,570.85

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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.