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Finding the Fourth Proportional to 2,507.70, 3,460.23 and 1,459.74

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Solution

The fourth proportional to 2,507.70, 3,460.23 and 1,459.74 is: 2,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.70 : 3,460.23 = 1,459.74 : x
  2. Step 2: Convert to fraction form
    2,507.70/3,460.23 = 1,459.74/x
  3. Step 3: Cross multiply
    2,507.70x = 3,460.23 × 1,459.74
  4. Step 4: Simplify right side
    2,507.70x = 5,051,036.14
  5. Step 5: Solve for x
    x = 5,051,036.14/2,507.70
  6. Step 6: Final answer
    x = 2,014.21

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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.