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Finding the Fourth Proportional to 1,465.12, 2,019.47 and 904.37

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Solution

The fourth proportional to 1,465.12, 2,019.47 and 904.37 is: 1,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.12 : 2,019.47 = 904.37 : x
  2. Step 2: Convert to fraction form
    1,465.12/2,019.47 = 904.37/x
  3. Step 3: Cross multiply
    1,465.12x = 2,019.47 × 904.37
  4. Step 4: Simplify right side
    1,465.12x = 1,826,333.46
  5. Step 5: Solve for x
    x = 1,826,333.46/1,465.12
  6. Step 6: Final answer
    x = 1,246.54

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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.