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Finding the Fourth Proportional to 1,988.32, 2,980.16 and 1,460.46

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Solution

The fourth proportional to 1,988.32, 2,980.16 and 1,460.46 is: 2,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.32 : 2,980.16 = 1,460.46 : x
  2. Step 2: Convert to fraction form
    1,988.32/2,980.16 = 1,460.46/x
  3. Step 3: Cross multiply
    1,988.32x = 2,980.16 × 1,460.46
  4. Step 4: Simplify right side
    1,988.32x = 4,352,404.47
  5. Step 5: Solve for x
    x = 4,352,404.47/1,988.32
  6. Step 6: Final answer
    x = 2,188.99

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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.