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Finding the Fourth Proportional to 2,014.32, 3,019.28 and 973.68

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Solution

The fourth proportional to 2,014.32, 3,019.28 and 973.68 is: 1,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.32 : 3,019.28 = 973.68 : x
  2. Step 2: Convert to fraction form
    2,014.32/3,019.28 = 973.68/x
  3. Step 3: Cross multiply
    2,014.32x = 3,019.28 × 973.68
  4. Step 4: Simplify right side
    2,014.32x = 2,939,812.55
  5. Step 5: Solve for x
    x = 2,939,812.55/2,014.32
  6. Step 6: Final answer
    x = 1,459.46

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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.