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Finding the Fourth Proportional to 1,585.54, 2,376.15 and 1,007.38

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Solution

The fourth proportional to 1,585.54, 2,376.15 and 1,007.38 is: 1,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.54 : 2,376.15 = 1,007.38 : x
  2. Step 2: Convert to fraction form
    1,585.54/2,376.15 = 1,007.38/x
  3. Step 3: Cross multiply
    1,585.54x = 2,376.15 × 1,007.38
  4. Step 4: Simplify right side
    1,585.54x = 2,393,685.99
  5. Step 5: Solve for x
    x = 2,393,685.99/1,585.54
  6. Step 6: Final answer
    x = 1,509.70

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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.