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Finding the Fourth Proportional to 2,970.95, 4,457.14 and 1,023.17

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Solution

The fourth proportional to 2,970.95, 4,457.14 and 1,023.17 is: 1,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.95 : 4,457.14 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    2,970.95/4,457.14 = 1,023.17/x
  3. Step 3: Cross multiply
    2,970.95x = 4,457.14 × 1,023.17
  4. Step 4: Simplify right side
    2,970.95x = 4,560,420.52
  5. Step 5: Solve for x
    x = 4,560,420.52/2,970.95
  6. Step 6: Final answer
    x = 1,535.00

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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.