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Finding the Fourth Proportional to 2,580.24, 3,870.36 and 632.48

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Solution

The fourth proportional to 2,580.24, 3,870.36 and 632.48 is: 948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.24 : 3,870.36 = 632.48 : x
  2. Step 2: Convert to fraction form
    2,580.24/3,870.36 = 632.48/x
  3. Step 3: Cross multiply
    2,580.24x = 3,870.36 × 632.48
  4. Step 4: Simplify right side
    2,580.24x = 2,447,925.29
  5. Step 5: Solve for x
    x = 2,447,925.29/2,580.24
  6. Step 6: Final answer
    x = 948.72

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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.