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Finding the Fourth Proportional to 1,547.52, 2,321.40 and 623.04

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Solution

The fourth proportional to 1,547.52, 2,321.40 and 623.04 is: 934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.52 : 2,321.40 = 623.04 : x
  2. Step 2: Convert to fraction form
    1,547.52/2,321.40 = 623.04/x
  3. Step 3: Cross multiply
    1,547.52x = 2,321.40 × 623.04
  4. Step 4: Simplify right side
    1,547.52x = 1,446,325.06
  5. Step 5: Solve for x
    x = 1,446,325.06/1,547.52
  6. Step 6: Final answer
    x = 934.61

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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.