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Finding the Fourth Proportional to 1,802.64, 2,487.20 and 1,016.40

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Solution

The fourth proportional to 1,802.64, 2,487.20 and 1,016.40 is: 1,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.64 : 2,487.20 = 1,016.40 : x
  2. Step 2: Convert to fraction form
    1,802.64/2,487.20 = 1,016.40/x
  3. Step 3: Cross multiply
    1,802.64x = 2,487.20 × 1,016.40
  4. Step 4: Simplify right side
    1,802.64x = 2,527,990.08
  5. Step 5: Solve for x
    x = 2,527,990.08/1,802.64
  6. Step 6: Final answer
    x = 1,402.38

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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.