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Finding the Fourth Proportional to 1,573.83, 2,172.11 and 944.51

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Solution

The fourth proportional to 1,573.83, 2,172.11 and 944.51 is: 1,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.83 : 2,172.11 = 944.51 : x
  2. Step 2: Convert to fraction form
    1,573.83/2,172.11 = 944.51/x
  3. Step 3: Cross multiply
    1,573.83x = 2,172.11 × 944.51
  4. Step 4: Simplify right side
    1,573.83x = 2,051,564.03
  5. Step 5: Solve for x
    x = 2,051,564.03/1,573.83
  6. Step 6: Final answer
    x = 1,303.55

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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.