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Finding the Fourth Proportional to 2,362.40, 3,254.74 and 1,864.88

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Solution

The fourth proportional to 2,362.40, 3,254.74 and 1,864.88 is: 2,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.40 : 3,254.74 = 1,864.88 : x
  2. Step 2: Convert to fraction form
    2,362.40/3,254.74 = 1,864.88/x
  3. Step 3: Cross multiply
    2,362.40x = 3,254.74 × 1,864.88
  4. Step 4: Simplify right side
    2,362.40x = 6,069,699.53
  5. Step 5: Solve for x
    x = 6,069,699.53/2,362.40
  6. Step 6: Final answer
    x = 2,569.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.