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Finding the Fourth Proportional to 2,875.34, 4,307.04 and 1,830.17

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Solution

The fourth proportional to 2,875.34, 4,307.04 and 1,830.17 is: 2,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.34 : 4,307.04 = 1,830.17 : x
  2. Step 2: Convert to fraction form
    2,875.34/4,307.04 = 1,830.17/x
  3. Step 3: Cross multiply
    2,875.34x = 4,307.04 × 1,830.17
  4. Step 4: Simplify right side
    2,875.34x = 7,882,606.25
  5. Step 5: Solve for x
    x = 7,882,606.25/2,875.34
  6. Step 6: Final answer
    x = 2,741.45

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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.