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Finding the Fourth Proportional to 1,675.68, 2,312.60 and 967.53

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Solution

The fourth proportional to 1,675.68, 2,312.60 and 967.53 is: 1,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.68 : 2,312.60 = 967.53 : x
  2. Step 2: Convert to fraction form
    1,675.68/2,312.60 = 967.53/x
  3. Step 3: Cross multiply
    1,675.68x = 2,312.60 × 967.53
  4. Step 4: Simplify right side
    1,675.68x = 2,237,509.88
  5. Step 5: Solve for x
    x = 2,237,509.88/1,675.68
  6. Step 6: Final answer
    x = 1,335.28

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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.