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Finding the Fourth Proportional to 2,103.61, 3,155.79 and 870.35

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Solution

The fourth proportional to 2,103.61, 3,155.79 and 870.35 is: 1,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.61 : 3,155.79 = 870.35 : x
  2. Step 2: Convert to fraction form
    2,103.61/3,155.79 = 870.35/x
  3. Step 3: Cross multiply
    2,103.61x = 3,155.79 × 870.35
  4. Step 4: Simplify right side
    2,103.61x = 2,746,641.83
  5. Step 5: Solve for x
    x = 2,746,641.83/2,103.61
  6. Step 6: Final answer
    x = 1,305.68

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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.