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Finding the Fourth Proportional to 1,501.58, 2,252.42 and 405.95

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Solution

The fourth proportional to 1,501.58, 2,252.42 and 405.95 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.58 : 2,252.42 = 405.95 : x
  2. Step 2: Convert to fraction form
    1,501.58/2,252.42 = 405.95/x
  3. Step 3: Cross multiply
    1,501.58x = 2,252.42 × 405.95
  4. Step 4: Simplify right side
    1,501.58x = 914,356.61
  5. Step 5: Solve for x
    x = 914,356.61/1,501.58
  6. Step 6: Final answer
    x = 608.93

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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.