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Finding the Fourth Proportional to 2,345.12, 3,515.48 and 805.04

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Solution

The fourth proportional to 2,345.12, 3,515.48 and 805.04 is: 1,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.12 : 3,515.48 = 805.04 : x
  2. Step 2: Convert to fraction form
    2,345.12/3,515.48 = 805.04/x
  3. Step 3: Cross multiply
    2,345.12x = 3,515.48 × 805.04
  4. Step 4: Simplify right side
    2,345.12x = 2,830,102.02
  5. Step 5: Solve for x
    x = 2,830,102.02/2,345.12
  6. Step 6: Final answer
    x = 1,206.80

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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.