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Finding the Fourth Proportional to 1,458.03, 2,176.02 and 1,419.15

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Solution

The fourth proportional to 1,458.03, 2,176.02 and 1,419.15 is: 2,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.03 : 2,176.02 = 1,419.15 : x
  2. Step 2: Convert to fraction form
    1,458.03/2,176.02 = 1,419.15/x
  3. Step 3: Cross multiply
    1,458.03x = 2,176.02 × 1,419.15
  4. Step 4: Simplify right side
    1,458.03x = 3,088,098.78
  5. Step 5: Solve for x
    x = 3,088,098.78/1,458.03
  6. Step 6: Final answer
    x = 2,117.99

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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.