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Finding the Fourth Proportional to 2,306.59, 3,460.55 and 1,370.39

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Solution

The fourth proportional to 2,306.59, 3,460.55 and 1,370.39 is: 2,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.59 : 3,460.55 = 1,370.39 : x
  2. Step 2: Convert to fraction form
    2,306.59/3,460.55 = 1,370.39/x
  3. Step 3: Cross multiply
    2,306.59x = 3,460.55 × 1,370.39
  4. Step 4: Simplify right side
    2,306.59x = 4,742,303.11
  5. Step 5: Solve for x
    x = 4,742,303.11/2,306.59
  6. Step 6: Final answer
    x = 2,055.98

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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.