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Finding the Fourth Proportional to 2,012.04, 3,018.03 and 971.34

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Solution

The fourth proportional to 2,012.04, 3,018.03 and 971.34 is: 1,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.04 : 3,018.03 = 971.34 : x
  2. Step 2: Convert to fraction form
    2,012.04/3,018.03 = 971.34/x
  3. Step 3: Cross multiply
    2,012.04x = 3,018.03 × 971.34
  4. Step 4: Simplify right side
    2,012.04x = 2,931,533.26
  5. Step 5: Solve for x
    x = 2,931,533.26/2,012.04
  6. Step 6: Final answer
    x = 1,457.00

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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.