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Finding the Fourth Proportional to 3,095.70, 4,643.55 and 904.65

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Solution

The fourth proportional to 3,095.70, 4,643.55 and 904.65 is: 1,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.70 : 4,643.55 = 904.65 : x
  2. Step 2: Convert to fraction form
    3,095.70/4,643.55 = 904.65/x
  3. Step 3: Cross multiply
    3,095.70x = 4,643.55 × 904.65
  4. Step 4: Simplify right side
    3,095.70x = 4,200,787.51
  5. Step 5: Solve for x
    x = 4,200,787.51/3,095.70
  6. Step 6: Final answer
    x = 1,356.98

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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.