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Finding the Fourth Proportional to 3,095.60, 4,644.16 and 904.35

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Solution

The fourth proportional to 3,095.60, 4,644.16 and 904.35 is: 1,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.60 : 4,644.16 = 904.35 : x
  2. Step 2: Convert to fraction form
    3,095.60/4,644.16 = 904.35/x
  3. Step 3: Cross multiply
    3,095.60x = 4,644.16 × 904.35
  4. Step 4: Simplify right side
    3,095.60x = 4,199,946.10
  5. Step 5: Solve for x
    x = 4,199,946.10/3,095.60
  6. Step 6: Final answer
    x = 1,356.75

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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.