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Finding the Fourth Proportional to 2,897.81, 4,346.70 and 1,607.48

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Solution

The fourth proportional to 2,897.81, 4,346.70 and 1,607.48 is: 2,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.81 : 4,346.70 = 1,607.48 : x
  2. Step 2: Convert to fraction form
    2,897.81/4,346.70 = 1,607.48/x
  3. Step 3: Cross multiply
    2,897.81x = 4,346.70 × 1,607.48
  4. Step 4: Simplify right side
    2,897.81x = 6,987,211.58
  5. Step 5: Solve for x
    x = 6,987,211.58/2,897.81
  6. Step 6: Final answer
    x = 2,411.21

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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.