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Finding the Fourth Proportional to 1,465.65, 2,024.91 and 1,349.01

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Solution

The fourth proportional to 1,465.65, 2,024.91 and 1,349.01 is: 1,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.65 : 2,024.91 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    1,465.65/2,024.91 = 1,349.01/x
  3. Step 3: Cross multiply
    1,465.65x = 2,024.91 × 1,349.01
  4. Step 4: Simplify right side
    1,465.65x = 2,731,623.84
  5. Step 5: Solve for x
    x = 2,731,623.84/1,465.65
  6. Step 6: Final answer
    x = 1,863.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.