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Finding the Fourth Proportional to 1,527.26, 2,303.64 and 1,527.26

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Solution

The fourth proportional to 1,527.26, 2,303.64 and 1,527.26 is: 2,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.26 : 2,303.64 = 1,527.26 : x
  2. Step 2: Convert to fraction form
    1,527.26/2,303.64 = 1,527.26/x
  3. Step 3: Cross multiply
    1,527.26x = 2,303.64 × 1,527.26
  4. Step 4: Simplify right side
    1,527.26x = 3,518,245.71
  5. Step 5: Solve for x
    x = 3,518,245.71/1,527.26
  6. Step 6: Final answer
    x = 2,303.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.