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Finding the Fourth Proportional to 2,307.04, 3,458.58 and 845.90

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Solution

The fourth proportional to 2,307.04, 3,458.58 and 845.90 is: 1,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.04 : 3,458.58 = 845.90 : x
  2. Step 2: Convert to fraction form
    2,307.04/3,458.58 = 845.90/x
  3. Step 3: Cross multiply
    2,307.04x = 3,458.58 × 845.90
  4. Step 4: Simplify right side
    2,307.04x = 2,925,612.82
  5. Step 5: Solve for x
    x = 2,925,612.82/2,307.04
  6. Step 6: Final answer
    x = 1,268.12

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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.