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Finding the Fourth Proportional to 1,560.58, 2,152.66 and 930.70

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Solution

The fourth proportional to 1,560.58, 2,152.66 and 930.70 is: 1,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.58 : 2,152.66 = 930.70 : x
  2. Step 2: Convert to fraction form
    1,560.58/2,152.66 = 930.70/x
  3. Step 3: Cross multiply
    1,560.58x = 2,152.66 × 930.70
  4. Step 4: Simplify right side
    1,560.58x = 2,003,480.66
  5. Step 5: Solve for x
    x = 2,003,480.66/1,560.58
  6. Step 6: Final answer
    x = 1,283.81

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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.