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Finding the Fourth Proportional to 2,970.66, 4,455.36 and 1,023

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Solution

The fourth proportional to 2,970.66, 4,455.36 and 1,023 is: 1,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,455.36 = 1,023 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,455.36 = 1,023/x
  3. Step 3: Cross multiply
    2,970.66x = 4,455.36 × 1,023
  4. Step 4: Simplify right side
    2,970.66x = 4,557,833.28
  5. Step 5: Solve for x
    x = 4,557,833.28/2,970.66
  6. Step 6: Final answer
    x = 1,534.28

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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.