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Finding the Fourth Proportional to 1,569.66, 2,354.76 and 595.80

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Solution

The fourth proportional to 1,569.66, 2,354.76 and 595.80 is: 893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.66 : 2,354.76 = 595.80 : x
  2. Step 2: Convert to fraction form
    1,569.66/2,354.76 = 595.80/x
  3. Step 3: Cross multiply
    1,569.66x = 2,354.76 × 595.80
  4. Step 4: Simplify right side
    1,569.66x = 1,402,966.01
  5. Step 5: Solve for x
    x = 1,402,966.01/1,569.66
  6. Step 6: Final answer
    x = 893.80

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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.