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Finding the Fourth Proportional to 2,364.32, 3,545.24 and 977.40

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Solution

The fourth proportional to 2,364.32, 3,545.24 and 977.40 is: 1,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.32 : 3,545.24 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,364.32/3,545.24 = 977.40/x
  3. Step 3: Cross multiply
    2,364.32x = 3,545.24 × 977.40
  4. Step 4: Simplify right side
    2,364.32x = 3,465,112.69
  5. Step 5: Solve for x
    x = 3,465,112.69/2,364.32
  6. Step 6: Final answer
    x = 1,465.58

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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.