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Finding the Fourth Proportional to 2,957.35, 4,434.77 and 1,312.77

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Solution

The fourth proportional to 2,957.35, 4,434.77 and 1,312.77 is: 1,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.35 : 4,434.77 = 1,312.77 : x
  2. Step 2: Convert to fraction form
    2,957.35/4,434.77 = 1,312.77/x
  3. Step 3: Cross multiply
    2,957.35x = 4,434.77 × 1,312.77
  4. Step 4: Simplify right side
    2,957.35x = 5,821,829.60
  5. Step 5: Solve for x
    x = 5,821,829.60/2,957.35
  6. Step 6: Final answer
    x = 1,968.60

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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.