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Finding the Fourth Proportional to 1,598.84, 2,206.74 and 1,009.26

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Solution

The fourth proportional to 1,598.84, 2,206.74 and 1,009.26 is: 1,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.84 : 2,206.74 = 1,009.26 : x
  2. Step 2: Convert to fraction form
    1,598.84/2,206.74 = 1,009.26/x
  3. Step 3: Cross multiply
    1,598.84x = 2,206.74 × 1,009.26
  4. Step 4: Simplify right side
    1,598.84x = 2,227,178.20
  5. Step 5: Solve for x
    x = 2,227,178.20/1,598.84
  6. Step 6: Final answer
    x = 1,393.00

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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.