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Finding the Fourth Proportional to 1,507.96, 2,259.90 and 1,301.68

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Solution

The fourth proportional to 1,507.96, 2,259.90 and 1,301.68 is: 1,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.96 : 2,259.90 = 1,301.68 : x
  2. Step 2: Convert to fraction form
    1,507.96/2,259.90 = 1,301.68/x
  3. Step 3: Cross multiply
    1,507.96x = 2,259.90 × 1,301.68
  4. Step 4: Simplify right side
    1,507.96x = 2,941,666.63
  5. Step 5: Solve for x
    x = 2,941,666.63/1,507.96
  6. Step 6: Final answer
    x = 1,950.76

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1.5x scale

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.