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Finding the Fourth Proportional to 1,541.02, 2,312.10 and 553.90

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Solution

The fourth proportional to 1,541.02, 2,312.10 and 553.90 is: 831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.02 : 2,312.10 = 553.90 : x
  2. Step 2: Convert to fraction form
    1,541.02/2,312.10 = 553.90/x
  3. Step 3: Cross multiply
    1,541.02x = 2,312.10 × 553.90
  4. Step 4: Simplify right side
    1,541.02x = 1,280,672.19
  5. Step 5: Solve for x
    x = 1,280,672.19/1,541.02
  6. Step 6: Final answer
    x = 831.05

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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.