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Finding the Fourth Proportional to 2,525.76, 3,486.72 and 1,780.32

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Solution

The fourth proportional to 2,525.76, 3,486.72 and 1,780.32 is: 2,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.76 : 3,486.72 = 1,780.32 : x
  2. Step 2: Convert to fraction form
    2,525.76/3,486.72 = 1,780.32/x
  3. Step 3: Cross multiply
    2,525.76x = 3,486.72 × 1,780.32
  4. Step 4: Simplify right side
    2,525.76x = 6,207,477.35
  5. Step 5: Solve for x
    x = 6,207,477.35/2,525.76
  6. Step 6: Final answer
    x = 2,457.67

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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.