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Finding the Fourth Proportional to 1,460.68, 2,189.10 and 595.64

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Solution

The fourth proportional to 1,460.68, 2,189.10 and 595.64 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.68 : 2,189.10 = 595.64 : x
  2. Step 2: Convert to fraction form
    1,460.68/2,189.10 = 595.64/x
  3. Step 3: Cross multiply
    1,460.68x = 2,189.10 × 595.64
  4. Step 4: Simplify right side
    1,460.68x = 1,303,915.52
  5. Step 5: Solve for x
    x = 1,303,915.52/1,460.68
  6. Step 6: Final answer
    x = 892.68

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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.