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Finding the Fourth Proportional to 2,345.49, 3,533.90 and 2,123.42

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Solution

The fourth proportional to 2,345.49, 3,533.90 and 2,123.42 is: 3,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.49 : 3,533.90 = 2,123.42 : x
  2. Step 2: Convert to fraction form
    2,345.49/3,533.90 = 2,123.42/x
  3. Step 3: Cross multiply
    2,345.49x = 3,533.90 × 2,123.42
  4. Step 4: Simplify right side
    2,345.49x = 7,503,925.65
  5. Step 5: Solve for x
    x = 7,503,925.65/2,345.49
  6. Step 6: Final answer
    x = 3,199.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.