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Finding the Fourth Proportional to 1,869.16, 2,803.68 and 570.64

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Solution

The fourth proportional to 1,869.16, 2,803.68 and 570.64 is: 855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.16 : 2,803.68 = 570.64 : x
  2. Step 2: Convert to fraction form
    1,869.16/2,803.68 = 570.64/x
  3. Step 3: Cross multiply
    1,869.16x = 2,803.68 × 570.64
  4. Step 4: Simplify right side
    1,869.16x = 1,599,891.96
  5. Step 5: Solve for x
    x = 1,599,891.96/1,869.16
  6. Step 6: Final answer
    x = 855.94

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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.