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Finding the Fourth Proportional to 2,693.95, 4,035.40 and 1,595.64

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Solution

The fourth proportional to 2,693.95, 4,035.40 and 1,595.64 is: 2,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.95 : 4,035.40 = 1,595.64 : x
  2. Step 2: Convert to fraction form
    2,693.95/4,035.40 = 1,595.64/x
  3. Step 3: Cross multiply
    2,693.95x = 4,035.40 × 1,595.64
  4. Step 4: Simplify right side
    2,693.95x = 6,439,045.66
  5. Step 5: Solve for x
    x = 6,439,045.66/2,693.95
  6. Step 6: Final answer
    x = 2,390.19

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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.