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Finding the Fourth Proportional to 1,772.60, 2,657.96 and 894.16

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Solution

The fourth proportional to 1,772.60, 2,657.96 and 894.16 is: 1,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.60 : 2,657.96 = 894.16 : x
  2. Step 2: Convert to fraction form
    1,772.60/2,657.96 = 894.16/x
  3. Step 3: Cross multiply
    1,772.60x = 2,657.96 × 894.16
  4. Step 4: Simplify right side
    1,772.60x = 2,376,641.51
  5. Step 5: Solve for x
    x = 2,376,641.51/1,772.60
  6. Step 6: Final answer
    x = 1,340.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.