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Finding the Fourth Proportional to 3,070.90, 4,607.70 and 1,609.71

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Solution

The fourth proportional to 3,070.90, 4,607.70 and 1,609.71 is: 2,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.90 : 4,607.70 = 1,609.71 : x
  2. Step 2: Convert to fraction form
    3,070.90/4,607.70 = 1,609.71/x
  3. Step 3: Cross multiply
    3,070.90x = 4,607.70 × 1,609.71
  4. Step 4: Simplify right side
    3,070.90x = 7,417,060.77
  5. Step 5: Solve for x
    x = 7,417,060.77/3,070.90
  6. Step 6: Final answer
    x = 2,415.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.