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Finding the Fourth Proportional to 1,652.06, 2,477.40 and 612.14

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Solution

The fourth proportional to 1,652.06, 2,477.40 and 612.14 is: 917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.06 : 2,477.40 = 612.14 : x
  2. Step 2: Convert to fraction form
    1,652.06/2,477.40 = 612.14/x
  3. Step 3: Cross multiply
    1,652.06x = 2,477.40 × 612.14
  4. Step 4: Simplify right side
    1,652.06x = 1,516,503.25
  5. Step 5: Solve for x
    x = 1,516,503.25/1,652.06
  6. Step 6: Final answer
    x = 917.95

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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.