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Finding the Fourth Proportional to 1,679.02, 2,316.54 and 1,089.08

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Solution

The fourth proportional to 1,679.02, 2,316.54 and 1,089.08 is: 1,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.02 : 2,316.54 = 1,089.08 : x
  2. Step 2: Convert to fraction form
    1,679.02/2,316.54 = 1,089.08/x
  3. Step 3: Cross multiply
    1,679.02x = 2,316.54 × 1,089.08
  4. Step 4: Simplify right side
    1,679.02x = 2,522,897.38
  5. Step 5: Solve for x
    x = 2,522,897.38/1,679.02
  6. Step 6: Final answer
    x = 1,502.60

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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.