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Finding the Fourth Proportional to 1,602.48, 2,404.08 and 1,159.86

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Solution

The fourth proportional to 1,602.48, 2,404.08 and 1,159.86 is: 1,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.48 : 2,404.08 = 1,159.86 : x
  2. Step 2: Convert to fraction form
    1,602.48/2,404.08 = 1,159.86/x
  3. Step 3: Cross multiply
    1,602.48x = 2,404.08 × 1,159.86
  4. Step 4: Simplify right side
    1,602.48x = 2,788,396.23
  5. Step 5: Solve for x
    x = 2,788,396.23/1,602.48
  6. Step 6: Final answer
    x = 1,740.05

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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.