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Finding the Fourth Proportional to 1,895.94, 2,830.68 and 1,635.66

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Solution

The fourth proportional to 1,895.94, 2,830.68 and 1,635.66 is: 2,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.94 : 2,830.68 = 1,635.66 : x
  2. Step 2: Convert to fraction form
    1,895.94/2,830.68 = 1,635.66/x
  3. Step 3: Cross multiply
    1,895.94x = 2,830.68 × 1,635.66
  4. Step 4: Simplify right side
    1,895.94x = 4,630,030.05
  5. Step 5: Solve for x
    x = 4,630,030.05/1,895.94
  6. Step 6: Final answer
    x = 2,442.08

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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.