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Finding the Fourth Proportional to 2,970.56, 4,458.32 and 1,024.13

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Solution

The fourth proportional to 2,970.56, 4,458.32 and 1,024.13 is: 1,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.56 : 4,458.32 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    2,970.56/4,458.32 = 1,024.13/x
  3. Step 3: Cross multiply
    2,970.56x = 4,458.32 × 1,024.13
  4. Step 4: Simplify right side
    2,970.56x = 4,565,899.26
  5. Step 5: Solve for x
    x = 4,565,899.26/2,970.56
  6. Step 6: Final answer
    x = 1,537.05

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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.