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Finding the Fourth Proportional to 1,465.04, 2,197.56 and 974.58

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Solution

The fourth proportional to 1,465.04, 2,197.56 and 974.58 is: 1,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.04 : 2,197.56 = 974.58 : x
  2. Step 2: Convert to fraction form
    1,465.04/2,197.56 = 974.58/x
  3. Step 3: Cross multiply
    1,465.04x = 2,197.56 × 974.58
  4. Step 4: Simplify right side
    1,465.04x = 2,141,698.02
  5. Step 5: Solve for x
    x = 2,141,698.02/1,465.04
  6. Step 6: Final answer
    x = 1,461.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.