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Finding the Fourth Proportional to 1,670.94, 2,306.10 and 972.32

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Solution

The fourth proportional to 1,670.94, 2,306.10 and 972.32 is: 1,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.94 : 2,306.10 = 972.32 : x
  2. Step 2: Convert to fraction form
    1,670.94/2,306.10 = 972.32/x
  3. Step 3: Cross multiply
    1,670.94x = 2,306.10 × 972.32
  4. Step 4: Simplify right side
    1,670.94x = 2,242,267.15
  5. Step 5: Solve for x
    x = 2,242,267.15/1,670.94
  6. Step 6: Final answer
    x = 1,341.92

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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.