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Finding the Fourth Proportional to 1,652.68, 2,478.34 and 612.75

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Solution

The fourth proportional to 1,652.68, 2,478.34 and 612.75 is: 918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.68 : 2,478.34 = 612.75 : x
  2. Step 2: Convert to fraction form
    1,652.68/2,478.34 = 612.75/x
  3. Step 3: Cross multiply
    1,652.68x = 2,478.34 × 612.75
  4. Step 4: Simplify right side
    1,652.68x = 1,518,602.84
  5. Step 5: Solve for x
    x = 1,518,602.84/1,652.68
  6. Step 6: Final answer
    x = 918.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.