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Finding the Fourth Proportional to 1,648.04, 2,473.76 and 956.06

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Solution

The fourth proportional to 1,648.04, 2,473.76 and 956.06 is: 1,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.04 : 2,473.76 = 956.06 : x
  2. Step 2: Convert to fraction form
    1,648.04/2,473.76 = 956.06/x
  3. Step 3: Cross multiply
    1,648.04x = 2,473.76 × 956.06
  4. Step 4: Simplify right side
    1,648.04x = 2,365,062.28
  5. Step 5: Solve for x
    x = 2,365,062.28/1,648.04
  6. Step 6: Final answer
    x = 1,435.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.