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Finding the Fourth Proportional to 2,435.90, 3,656.57 and 976.07

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Solution

The fourth proportional to 2,435.90, 3,656.57 and 976.07 is: 1,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.90 : 3,656.57 = 976.07 : x
  2. Step 2: Convert to fraction form
    2,435.90/3,656.57 = 976.07/x
  3. Step 3: Cross multiply
    2,435.90x = 3,656.57 × 976.07
  4. Step 4: Simplify right side
    2,435.90x = 3,569,045.12
  5. Step 5: Solve for x
    x = 3,569,045.12/2,435.90
  6. Step 6: Final answer
    x = 1,465.19

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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.