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Finding the Fourth Proportional to 1,419.76, 2,114.69 and 1,329.76

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Solution

The fourth proportional to 1,419.76, 2,114.69 and 1,329.76 is: 1,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.76 : 2,114.69 = 1,329.76 : x
  2. Step 2: Convert to fraction form
    1,419.76/2,114.69 = 1,329.76/x
  3. Step 3: Cross multiply
    1,419.76x = 2,114.69 × 1,329.76
  4. Step 4: Simplify right side
    1,419.76x = 2,812,030.17
  5. Step 5: Solve for x
    x = 2,812,030.17/1,419.76
  6. Step 6: Final answer
    x = 1,980.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.