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Finding the Fourth Proportional to 2,385.63, 3,578.45 and 1,417.95

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Solution

The fourth proportional to 2,385.63, 3,578.45 and 1,417.95 is: 2,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.63 : 3,578.45 = 1,417.95 : x
  2. Step 2: Convert to fraction form
    2,385.63/3,578.45 = 1,417.95/x
  3. Step 3: Cross multiply
    2,385.63x = 3,578.45 × 1,417.95
  4. Step 4: Simplify right side
    2,385.63x = 5,074,056.09
  5. Step 5: Solve for x
    x = 5,074,056.09/2,385.63
  6. Step 6: Final answer
    x = 2,126.93

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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.