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Finding the Fourth Proportional to 1,625.53, 2,435.04 and 975.91

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Solution

The fourth proportional to 1,625.53, 2,435.04 and 975.91 is: 1,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.53 : 2,435.04 = 975.91 : x
  2. Step 2: Convert to fraction form
    1,625.53/2,435.04 = 975.91/x
  3. Step 3: Cross multiply
    1,625.53x = 2,435.04 × 975.91
  4. Step 4: Simplify right side
    1,625.53x = 2,376,379.89
  5. Step 5: Solve for x
    x = 2,376,379.89/1,625.53
  6. Step 6: Final answer
    x = 1,461.91

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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.