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Finding the Fourth Proportional to 1,957.03, 2,935.95 and 1,590.91

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Solution

The fourth proportional to 1,957.03, 2,935.95 and 1,590.91 is: 2,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.03 : 2,935.95 = 1,590.91 : x
  2. Step 2: Convert to fraction form
    1,957.03/2,935.95 = 1,590.91/x
  3. Step 3: Cross multiply
    1,957.03x = 2,935.95 × 1,590.91
  4. Step 4: Simplify right side
    1,957.03x = 4,670,832.21
  5. Step 5: Solve for x
    x = 4,670,832.21/1,957.03
  6. Step 6: Final answer
    x = 2,386.69

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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.