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Finding the Fourth Proportional to 2,364.57, 3,545.64 and 977.65

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Solution

The fourth proportional to 2,364.57, 3,545.64 and 977.65 is: 1,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.57 : 3,545.64 = 977.65 : x
  2. Step 2: Convert to fraction form
    2,364.57/3,545.64 = 977.65/x
  3. Step 3: Cross multiply
    2,364.57x = 3,545.64 × 977.65
  4. Step 4: Simplify right side
    2,364.57x = 3,466,386.08
  5. Step 5: Solve for x
    x = 3,466,386.08/2,364.57
  6. Step 6: Final answer
    x = 1,465.97

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Why These Related Problems?

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