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Finding the Fourth Proportional to 1,746.85, 2,405.95 and 1,615.47

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Solution

The fourth proportional to 1,746.85, 2,405.95 and 1,615.47 is: 2,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.85 : 2,405.95 = 1,615.47 : x
  2. Step 2: Convert to fraction form
    1,746.85/2,405.95 = 1,615.47/x
  3. Step 3: Cross multiply
    1,746.85x = 2,405.95 × 1,615.47
  4. Step 4: Simplify right side
    1,746.85x = 3,886,740.05
  5. Step 5: Solve for x
    x = 3,886,740.05/1,746.85
  6. Step 6: Final answer
    x = 2,225.00

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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.