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Finding the Fourth Proportional to 1,509.93, 2,082.65 and 1,459.13

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Solution

The fourth proportional to 1,509.93, 2,082.65 and 1,459.13 is: 2,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.93 : 2,082.65 = 1,459.13 : x
  2. Step 2: Convert to fraction form
    1,509.93/2,082.65 = 1,459.13/x
  3. Step 3: Cross multiply
    1,509.93x = 2,082.65 × 1,459.13
  4. Step 4: Simplify right side
    1,509.93x = 3,038,862.04
  5. Step 5: Solve for x
    x = 3,038,862.04/1,509.93
  6. Step 6: Final answer
    x = 2,012.58

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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.