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Finding the Fourth Proportional to 1,897.60, 2,832.84 and 1,605.92

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Solution

The fourth proportional to 1,897.60, 2,832.84 and 1,605.92 is: 2,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.60 : 2,832.84 = 1,605.92 : x
  2. Step 2: Convert to fraction form
    1,897.60/2,832.84 = 1,605.92/x
  3. Step 3: Cross multiply
    1,897.60x = 2,832.84 × 1,605.92
  4. Step 4: Simplify right side
    1,897.60x = 4,549,314.41
  5. Step 5: Solve for x
    x = 4,549,314.41/1,897.60
  6. Step 6: Final answer
    x = 2,397.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.