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Finding the Fourth Proportional to 1,483.10, 2,045.64 and 958.64

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Solution

The fourth proportional to 1,483.10, 2,045.64 and 958.64 is: 1,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.10 : 2,045.64 = 958.64 : x
  2. Step 2: Convert to fraction form
    1,483.10/2,045.64 = 958.64/x
  3. Step 3: Cross multiply
    1,483.10x = 2,045.64 × 958.64
  4. Step 4: Simplify right side
    1,483.10x = 1,961,032.33
  5. Step 5: Solve for x
    x = 1,961,032.33/1,483.10
  6. Step 6: Final answer
    x = 1,322.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.