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Finding the Fourth Proportional to 1,389.84, 1,917.60 and 1,094.64

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Solution

The fourth proportional to 1,389.84, 1,917.60 and 1,094.64 is: 1,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.84 : 1,917.60 = 1,094.64 : x
  2. Step 2: Convert to fraction form
    1,389.84/1,917.60 = 1,094.64/x
  3. Step 3: Cross multiply
    1,389.84x = 1,917.60 × 1,094.64
  4. Step 4: Simplify right side
    1,389.84x = 2,099,081.66
  5. Step 5: Solve for x
    x = 2,099,081.66/1,389.84
  6. Step 6: Final answer
    x = 1,510.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.