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Finding the Fourth Proportional to 1,530.76, 2,113.72 and 972.22

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Solution

The fourth proportional to 1,530.76, 2,113.72 and 972.22 is: 1,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.76 : 2,113.72 = 972.22 : x
  2. Step 2: Convert to fraction form
    1,530.76/2,113.72 = 972.22/x
  3. Step 3: Cross multiply
    1,530.76x = 2,113.72 × 972.22
  4. Step 4: Simplify right side
    1,530.76x = 2,055,000.86
  5. Step 5: Solve for x
    x = 2,055,000.86/1,530.76
  6. Step 6: Final answer
    x = 1,342.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.