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Finding the Fourth Proportional to 1,465.47, 2,024.37 and 1,138.08

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Solution

The fourth proportional to 1,465.47, 2,024.37 and 1,138.08 is: 1,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.47 : 2,024.37 = 1,138.08 : x
  2. Step 2: Convert to fraction form
    1,465.47/2,024.37 = 1,138.08/x
  3. Step 3: Cross multiply
    1,465.47x = 2,024.37 × 1,138.08
  4. Step 4: Simplify right side
    1,465.47x = 2,303,895.01
  5. Step 5: Solve for x
    x = 2,303,895.01/1,465.47
  6. Step 6: Final answer
    x = 1,572.12

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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.