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Finding the Fourth Proportional to 2,962.85, 4,088.71 and 1,783.67

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Solution

The fourth proportional to 2,962.85, 4,088.71 and 1,783.67 is: 2,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.85 : 4,088.71 = 1,783.67 : x
  2. Step 2: Convert to fraction form
    2,962.85/4,088.71 = 1,783.67/x
  3. Step 3: Cross multiply
    2,962.85x = 4,088.71 × 1,783.67
  4. Step 4: Simplify right side
    2,962.85x = 7,292,909.37
  5. Step 5: Solve for x
    x = 7,292,909.37/2,962.85
  6. Step 6: Final answer
    x = 2,461.45

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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.