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Finding the Fourth Proportional to 1,411.98, 2,117.94 and 385.98

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Solution

The fourth proportional to 1,411.98, 2,117.94 and 385.98 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.98 : 2,117.94 = 385.98 : x
  2. Step 2: Convert to fraction form
    1,411.98/2,117.94 = 385.98/x
  3. Step 3: Cross multiply
    1,411.98x = 2,117.94 × 385.98
  4. Step 4: Simplify right side
    1,411.98x = 817,482.48
  5. Step 5: Solve for x
    x = 817,482.48/1,411.98
  6. Step 6: Final answer
    x = 578.96

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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.