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Finding the Fourth Proportional to 2,925.66, 4,036.23 and 1,746.06

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Solution

The fourth proportional to 2,925.66, 4,036.23 and 1,746.06 is: 2,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.66 : 4,036.23 = 1,746.06 : x
  2. Step 2: Convert to fraction form
    2,925.66/4,036.23 = 1,746.06/x
  3. Step 3: Cross multiply
    2,925.66x = 4,036.23 × 1,746.06
  4. Step 4: Simplify right side
    2,925.66x = 7,047,499.75
  5. Step 5: Solve for x
    x = 7,047,499.75/2,925.66
  6. Step 6: Final answer
    x = 2,408.86

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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.