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Finding the Fourth Proportional to 1,670.04, 2,304.58 and 913.78

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Solution

The fourth proportional to 1,670.04, 2,304.58 and 913.78 is: 1,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.04 : 2,304.58 = 913.78 : x
  2. Step 2: Convert to fraction form
    1,670.04/2,304.58 = 913.78/x
  3. Step 3: Cross multiply
    1,670.04x = 2,304.58 × 913.78
  4. Step 4: Simplify right side
    1,670.04x = 2,105,879.11
  5. Step 5: Solve for x
    x = 2,105,879.11/1,670.04
  6. Step 6: Final answer
    x = 1,260.98

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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.