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Finding the Fourth Proportional to 1,297.84, 1,947.04 and 1,094.32

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Solution

The fourth proportional to 1,297.84, 1,947.04 and 1,094.32 is: 1,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.84 : 1,947.04 = 1,094.32 : x
  2. Step 2: Convert to fraction form
    1,297.84/1,947.04 = 1,094.32/x
  3. Step 3: Cross multiply
    1,297.84x = 1,947.04 × 1,094.32
  4. Step 4: Simplify right side
    1,297.84x = 2,130,684.81
  5. Step 5: Solve for x
    x = 2,130,684.81/1,297.84
  6. Step 6: Final answer
    x = 1,641.72

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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.