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Finding the Fourth Proportional to 2,985.69, 4,475.97 and 1,037.64

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Solution

The fourth proportional to 2,985.69, 4,475.97 and 1,037.64 is: 1,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.69 : 4,475.97 = 1,037.64 : x
  2. Step 2: Convert to fraction form
    2,985.69/4,475.97 = 1,037.64/x
  3. Step 3: Cross multiply
    2,985.69x = 4,475.97 × 1,037.64
  4. Step 4: Simplify right side
    2,985.69x = 4,644,445.51
  5. Step 5: Solve for x
    x = 4,644,445.51/2,985.69
  6. Step 6: Final answer
    x = 1,555.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.