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Finding the Fourth Proportional to 2,506.60, 3,762.60 and 1,412.02

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Solution

The fourth proportional to 2,506.60, 3,762.60 and 1,412.02 is: 2,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.60 : 3,762.60 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    2,506.60/3,762.60 = 1,412.02/x
  3. Step 3: Cross multiply
    2,506.60x = 3,762.60 × 1,412.02
  4. Step 4: Simplify right side
    2,506.60x = 5,312,866.45
  5. Step 5: Solve for x
    x = 5,312,866.45/2,506.60
  6. Step 6: Final answer
    x = 2,119.55

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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.